Given the following functions, find and simplify (f • g)(x) f(x)=—x+3 g(x)=-x-1

Given The Following Functions, Find And Simplify (f G)(x) F(x)=x+3 G(x)=-x-1

Answers

Answer 1

Answer:

[tex](f\circ g)(x)= x + 4[/tex]

Step-by-step explanation:

Composite Function

Given f(x) and g(x) as real functions, the composite function [tex](f\circ g)(x)[/tex] is defined as:

[tex](f\circ g)(x)=f(g(x))[/tex]

It can be found by substituting g into f.

We are given the functions:

f(x) = -x + 3

g(x) = -x -1

Find

[tex](f\circ g)(x)=f(g(x))= - (-x -1) + 3[/tex]

Removing parentheses:

[tex](f\circ g)(x)= x + 1 + 3[/tex]

Simplifying:

[tex]\mathbf{(f\circ g)(x)= x + 4}[/tex]


Related Questions

Is this a function?explain your choice.be specific by describing the domain and range values that may be problematic.

Answers

Answer:

yes it is a function

Step-by-step explanation:

A construction company is building a small deck for a customer and plans to use for the two boards that are 12 3/4 feet, four boards that are 13 5/8 feet, and two boards that are 10 1/2 feet. Find the total number of feet in all the boards

Answers

9514 1404 393

Answer:

  101 feet

Step-by-step explanation:

Multiply the number of boards by the length of the boards, and add the products.

  2(12 3/4) +4(13 5/8) +2(10 1/2) = 25 1/2 +54 1/2 +21 = 101

The total length of the boards is 101 feet.

slope = 3/4 , goes through the point (0, 6)

Answers

Answer:

y = 3/4x + 6

Step-by-step explanation:

Can someone please help me out with this question?

Answers

Answer:

10x³ + 12x² - 198x - 40

Step-by-step explanation:

Given parameters:

L(x) = 5x + 1

W(x) = 2x - 8

H(x)  = x + 5

Unknown:

Volume = ?

Solution:

The volume of the body;

      Volume  = L x W x H

Insert the parameters and solve;

      Volume  = (5x + 1)(2x - 8)(x + 5)

     Volume  = (10x² - 40x + 2x - 8)(x + 5)

     Volume = (10x² - 38x - 8 )(x + 5)

     Volume  = 10x³ - 38x² - 8x + 50x² - 190x - 40

     Volume  = 10x³ -38x² + 50x² - 8x - 190x - 40

    Volume  = 10x³ + 12x² - 198x - 40

How do you do this question?

Answers

Answer:

-0.391 < x < 0.391

Step-by-step explanation:

The Maclaurin series for cosine is:

cos(x) = ∑ (-1)ⁿ x²ⁿ / (2n)!

So the next term would be -x⁶/6!.  When the absolute value of this is less than the error:

│-x⁶/6!│< 0.000005

x⁶ / 720 < 0.000005

x⁶ < 0.0036

-0.391 < x < 0.391

Is 16.4 greater than 16

Answers

Answer:

yea

Step-by-step explanation:

Yes.

16 could also be written as 16.0, or 16.00 or even 16.00000.

16.4 could also be written as 16.40, or 16.400.

And of course, you know 4 is greater than 0.

This is why 16.4 is greater.

When you add a decimal to a number, it always makes it larger. its like saying 16 and 4 tenths.

5pm to 5 am how many hours

Answers

Answer:

12 hours

Step-by-step explanation:

Answer:

12 hours

Step-by-step explanation:

2. The reciprocal of 4 3/6 is
a. 6/27
b. 6/30
c. 4 6/3
d. 6 3/4​

Answers

Answer:

6/27

Step-by-step explanation:

[tex]4 \frac{3}{6} \\ \\ = \frac{4 \times 6 + 3}{6} \\ \\ = \frac{24 + 3}{6} \\ \\ 4 \frac{3}{6} = \frac{27}{6} \\ \\ reciprocal \: of \: 4 \frac{3}{6} = \frac{6}{27} [/tex]

The owner of a grocery store wants to mix two kinds of candy together to make 15 lb that he can sell for $5.00 per lb. He wants to use chocolate candies that he sells for $7.00 per lb and sugar candies that he sells for $2.00 per lb. How many pounds of each should the owner use?
_ pounds of chocolate candies
_ pounds of sugar candies
=OWO=

Answers

Answer: 9 pounds of chocolate and 6 pounds of sugar candies

Let's define the variables:

C = pounds of chocolate candies used.

S = pounds of sugar candies used.

We know that he wants to make a total of 15lb, then:

C + S = 15

We also want that the price per pound to be equal to 5$.

This means that the price of the 15 pounds will be the same as the price of the un-mixed candies.

C*$7.00 + $2.00*S = $5.00*15

Then we have a system of equations:

C + S = 15

C*$7.00 + $2.00*S = $5.00*15

To solve this system, we need to start by isolating one of the variables, i will isolate C in the first equation:

C = 15 - S

now we can replace that in the other equation:

(15 - S)*$7.00 + $2.00*S = $5.00*15

Now we can solve this for S.

$105 - $5.00*S = $75

$105 - $75 = $5.00*S

$30 = $5.00*S

$30/$5 = S = 6

Then there are 6 pounds of sugar candy, and we can use the equation:

C + S = 15

C + 6 = 15

C = 15 - 6 = 9

There are 9 pounds of chocolate candy in the mix.

Step-by-step explanation:

By writing and solving a system of equations, we will see that the owner must use 6 lb of the chocolate candies and 9 lb of the sugar candies.

Let's define two variables:

x = pounds of chocolate candies usedy = pounds of sugar candies used.

Then, using the given information, we will have that:

x + y = 15

x*$7.00 + y*$2.00 = $5.00*15

If we isolate x in the first equation we get:

x = 15 - y

Now we can replace that in the second equation to get:

(15 - y)*$7.00 + y*$2.00 = $75

$105 - y*$5.00 = $75

$105 - $75  = y*$5.00

$30 = y*$5.00

$30/$5 = y = 6

So the owner must use 6 pounds of the chocolate candies, and the other 9 pounds of the sugar candies.

If you want to learn more, you can read:

https://brainly.com/question/12895249

Find n and r 10 points

Answers

Answer:

i think i can see the picture

Step-by-step explanation:

plz do this ill mark brainly ​

Answers

Answer:

1. Expression: y = 235x

Answer: 1,175

2. The cost of the shirts is 5 dollars. Alex has 15 dollars in his wallet. He wants to buy 3 shirts. Write an expression that represents this problem.

Step-by-step explanation:

5. 235 per second

5 x 235 = 1,175

Expression: y = 235x

PLEASE HELP MATH HW DUE SOON​

Answers

Answer:

One number is 43 and the other is -29

Step-by-step explanation:

If you add and subtract 36 it shows both possible answers, this is because it doesn't tell us if it is more or less than 7 so it could only be those 2 numbers

2.Marino paid a total of $706 for his accommodation in Seoul, South Korea. He will be spending 7 nights at his hotel.
a) Write an equation to help Marino figure out how much money he was charged in fees.
b) Determine the amount of money he was charged for fees.

Answers

Answer:

$4942

Step-by-step explanation:

a.A day accommodation=$706

7 days accommodation=$706x7days

Answer=$4942

b

Cleo and her family fished for 3 days and caught 100 fish between them. They caught 12 fish on day 2 and 16 fish on day 3. How many fish did they catch on the first day.

Which equation is correct.
12x + 16 = 100
12x + 16 = 100

x + 12 + 16 = 100
x + 12 + 16 = 100

16x + 12 = 100

Answers

Answer:

x + 12 + 16 = 100

72 fishes

Step-by-step explanation:

Given parameters:

Number of days fished  = 3days

Number of fishes caught = 100 fishes

Number of fish caught on day 2 = 12fishes

Number of fish caught on day 3  = 16fishes

Unknown:

Number of fish caught on the first day = ?

Solution:

Let the number of fishes caught on the first day  = x;

Total number of fishes caught  = No of fish on day 1 + No of fish on day 2 + number of fish on day 3

Insert the parameters and solve;

    100  = x + 12 + 16

     x  = 100 - 28  = 72fishes

A manufacturer of women’s blouses has noticed that 80% of their blouses have no flaws, 15% have one flaw, and 5% have two flaws. If you buy a new blouse from this manufacturer, the expected number of flaws will be:_________

a. 0.15
b. 0.20
c. 0.80
d. 1.00
e. none of the above

Answers

Answer:

b

Step-by-step explanation:

80% +15% +5%=100

15/100= 0.15

5/100= 0.05

therfore

0.15 + 0.05 = number of flaws

=0.20

Based on the flaws that the manufacturer notices, we can infer that the expected number of flaws will be 0.25 which is e. none of the above.

The expected number of flaws is a weighted average of the percentages that have flaws:

=∑ (Percentage of flaws x Number of flaws)

The expected number of flaws is therefore:

= (80% x 0) + (15% x 1) + (5% x 2)

= 15% + 10%

= 0.25

In conclusion, you would expected the number of flaws to be 0.25.

Find out more at https://brainly.com/question/13412627.

Help solve this equation

Answers

Answer:

x=1

You solve for x by cross multyplying

the answer is x = 1

which expression is equivalent to (-60) divided by 5?

Answers

Answer:

Step-by-step explanation:

No choices are listed.

But -60 divided by 5 is -12

Select the correct answer.
Select the lightest weight.
1 750 g
I 0.7 kg
7.5 kg
705
g
7.05 kg

Answers

Answer:

1 750 g

Step-by-step explanation:

hhhahahahahahahaha

Fill in the table so it represents a linear function.
X
5
10
15
20
25
y -1
11

Answers

Answer:

2; 5; 8

Step-by-step explanation:

To fill in the table, we need to generate an equation to represent the relationship between x and y.

First, find the slope using the two pairs given, (5, -1) and (25, 11):

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{11 -(-1)}{25 - 5} = \frac{12}{20} = \frac{3}{5} [/tex]

m = ⅗.

Next, using the point-slope form, we can use a point/coordinate pair and the slope to derive an equation as follows.

[tex] y - y_1 = m(x - x_1) [/tex]

Where,

[tex] x_1 = 5, y_1 = -1 [/tex]

m = ⅗.

Plug in the values

[tex] y -(-1) = \frac{3}{5}(x - 5) [/tex]

[tex] y + 1 = \frac{3}{5}(x - 5) [/tex]

[tex] y + 1 = \frac{3x}{5} - 3 [/tex]

Subtract 1 from both sides

[tex] y + 1 - 1 = \frac{3x}{5} - 3 - 1 [/tex]

[tex] y = \frac{3x}{5} - 4 [/tex]

Use the equation above to fill out the table by plugging each value of x into the equation to get the corresponding values of y for each x value.

✔️When x = 10:

[tex] y = \frac{3x}{5} - 4 [/tex]

[tex] y = \frac{3(10)}{5} - 4 = 6 - 4 [/tex]

[tex] y = 2 [/tex]

✔️When x = 15:

[tex] y = \frac{3x}{5} - 4 [/tex]

[tex] y = \frac{3(15)}{5} - 4 = 9 - 4 [/tex]

[tex] y = 5 [/tex]

✔️When x = 20:

[tex] y = \frac{3x}{5} - 4 [/tex]

[tex] y = \frac{3(20)}{5} - 4 = 12 - 4 [/tex]

[tex] y = 8 [/tex]

Answer:

2,5,8

Step-by-step explanation:

Each day billy runs on a treadmill for 5 km and runs in the outdoor track for 6000 m in all how many meters does Billy run each day

Answers

Answer:

11000 meters

Step-by-step explanation:

1km=1000m

5km=5000m

5000+6000=11000m

If 1st and 4tg terms of G.p are 500 and 32 respectively it's second term is ?

Answers

Answer:

[tex]T_{2} = 200[/tex]

Step-by-step explanation:

Given

Geometry Progression

[tex]T_1 = 500[/tex]

[tex]T_4 = 32[/tex]

Required

Calculate the second term

First, we need to write out the formula to calculate the nth term of a GP

[tex]T_n = ar^{n-1}[/tex]

For first term: Tn = 500 and n = 1

[tex]500 = ar^{1-1}[/tex]

[tex]500 = ar^{0}[/tex]

[tex]500 = a[/tex]

[tex]a = 500[/tex]

For fought term: Tn = 32 and n = 4

[tex]32 = ar^{4-1}[/tex]

[tex]32 = ar^3[/tex]

Substitute 500 for a

[tex]32 = 500 * r^3[/tex]

Make r^3 the subject

[tex]r^3 = \frac{32}{500}[/tex]

[tex]r^3 = 0.064[/tex]

Take cube roots

[tex]\sqrt[3]{r^3} = \sqrt[3]{0.064}[/tex]

[tex]r = \sqrt[3]{0.064}[/tex]

[tex]r = 0.4[/tex]

Using:  [tex]T_n = ar^{n-1}[/tex]

[tex]n = 2[/tex]     [tex]r = 0.4[/tex]     and [tex]a = 500[/tex]

[tex]T_{2} = 500 * 0.4^{2-1}[/tex]

[tex]T_{2} = 500 * 0.4^1[/tex]

[tex]T_{2} = 500 * 0.4[/tex]

[tex]T_{2} = 200[/tex]

Hence, the second term is 200

Find the area of a square is 12cm find the length​

Answers

Answer:

The length would be l=3.46

Step-by-step explanation:

Please help I will brainliest!! Really urgent!!

Find the difference

and tell you me how you go it, not just the answer please!❤️

Answers

You have to rewrite the expresion without brakets :
5/6x - 7 - 1/2x - 6
Then calculate the difference between the fractions :
1/3x - 7 - 6
Then calculate the difference between 7 and 6
1/3x - 13
Solution : 1/3x - 13

Answer:

1/3x - 1

Step-by-step explanation:

5/6x - 7 -1/2x + 6.          - -6 turns it to +6

5/6x - 7 -3/6x + 6.          Turn 1/2x to 3/6x to make the denominators the same

5/6x - 3/6x -7 + 6

2/6x -1

1/3x - 1

Solve x2 − 10x = −13.

A) 5 ± 2square root 3
B) 5 ± square root 38
C) 5 ± 2square root 2
D) 5 ± 3square root 2​

Answers

Answer:

B

Step-by-step explanation:

First, let's rearrange the given equation into something more recognizable. If we add 13 to both sides, we now have the polynomial [tex]x^{2}-10x+13[/tex]. We can now use the quadratic formula to solve.

Remember that the quadratic formula is

[tex]\frac{-b+/-\sqrt{b^{2}-4ac } }{2a}[/tex]

Substitute the numbers from the equation into the formula.

[tex]\frac{-(-10)+/-\sqrt{(-10)^{2}-4(1)(13) } }{2(1)}[/tex]

Simplify:

[tex]\frac{10+/-\sqrt{100-52} }{2}[/tex]

[tex]\frac{10+/-\sqrt{48} }{2}[/tex]

Here, I'm going to assume that there was a mistype in option B because if we divide out the 2 we end up with [tex]5+/-\sqrt{48}[/tex].

Hope this helps!

Calculate the following speed Distance of 20 meters, time is 2 seconds.

Answers

Answer:

10 meters per sec

Step-by-step explanation:

Answer:

10 meters per seconds.

Step-by-step explanation:

10. Which of the following represents a linear function? *
I The area of a square in relation to its side
II The area of a circle in relation to its radius
III The perimeter of a square in relation to its side
IV The circumference of a circle in relation to its diameter
(a) I only
(b) II & III
(c) III & IV
(d) IV only

Answers

It is going to be C....

What is the lcm of 84,102 and 100

Answers

Step-by-step explanation:

[tex]\sf{ 2 |{\underline{84,102,100}}}[/tex]

[tex]\sf{ 2|{\underline{42,51,50}}}[/tex]

[tex]\sf {3|{\underline{21,17,25}}}[/tex]

[tex]\sf {5|{\underline{7,17,25}}}[/tex]

[tex]\sf {\:\:{7,17,5}}[/tex]

LCM=2×2×3×5×7×17=7120

How do you find the original price of an item, given the tax percent and the final cost ?

Answers

Umm when you buy something and it gives you tax and you pay the hole thing with tax

y=mx+b
answer fast, please!

Answers

Answer: y = -1x + 3

Step-by-step explanation:

it's going through the y intercept ( 3 )

and down ( negative by 1 )

you can also write the answer as y = -x + 3

either one, its the same.

y=-1x + 3 is the answer

Which probability model would you use to describe the number of damaged printers in a random sample of 4 printers taken from a shipment of 28 printers that contains 3 damaged printers?A) HypergeometricB) BinomialC) UniformD) Poisson

Answers

Answer:

The answer is "Option A".

Step-by-step explanation:

The probability function is

[tex]\to P(X) = K_{{C}_{k}} \times \frac{N-K_{{C}_{n-k}}}{N_{C}_{n}}[/tex]

 The population size (N)= 28

The number of success in population(K) = 3

The number of draws (n)= 4

Other Questions
pls help plz plz plz plz plz plz plz plz plz At high noon, the sun is almost directly above (about 2.0 degrees from the vertical) and a tall redwood tree casts a shadow that is 10m long. How tall is the redwood tree? Which occurs during the light-dependent reactions of photosynthesis?a.Light energy is absorbed and then converted into chemical energy in the form of ATP and NADPH.c.Organic molecules, such as proteins, lipids, and nucleic acids, are produced.d.None of the aboveb.ATP and NADPH are used to make glucose If a substance has a PH of 7 is it a acid, base or a neutral. ASAP 20 points!!! & BRAINLIEST! what kind of bonds involve a transfer of electrons? what kind of bond involves sharing of electrons? What effect did the Columbian Exchange have on resources in the Americas? Someone, please help I'll give 10 points and brainliest to the person who answers first 15. Joey indicated that the Bayugan City can be found at coordinates (-1 1/2,0). Do you agree with Joey? Why or why not? what do i highlight and whats the main idea? If u dont know what to highlight jus help me with my main idea please! Which of the following base pair sequences could be produced in DNA replication?AGTCATTCAGTAAGTCUTTCUGIAAGTCATUCAGUAAGTCATCTGACG What are some characteristics that protists and fungi both have that make them eukaryotes? 11. What does a bank use to make loans? *12. What is an action by the Fed that would promote an expansionary policy?13. What is an action by the Fed that would promote a contractionary policy As part of continuing efforts to control illegal immigration, the US government should institute a system of internal passports similar to those in European nations. Drivers licenses currently serve a kind of internal-passport function, but this system is severely limited because not all states require the same documentation before issuing photo ID. Illegal workers can get a drivers license in one state with lax regulations and use it as identification in another state with stricter regulations but better-paying jobs. Internal passports will keep illegal workers from slipping through the cracks by standardizing forms of photo ID. Which of the following is most similar to the passage above in logical structure?A. National standardized college entrance exams replace exams written independently by test administration services affiliated with groups of universities.B. A national association of doctors approves standards for diagnosis and treatment of childhood development disorders, and these standards are used in private clinics across the country.C. Resale values of used cars are discussed, standardized, and published in an industry manual also available to independent buyers and sellers.D. The distance between rails of train tracks is standardized across the country, allowing trains built by any manufacturer to travel along any rail line.E. Employment applications and hiring processes for a national restaurant chain are standardized in order to ensure uniform quality among employees. help me I'm desperate I'm begging you please I'm about to break down help In a perfectly competitive market, state the condition (clearly) that causes firms to enter the market? When does the entry and exit of firms from the perfectly competitive industry end? (micro economic question)....write it in your own words :) 24 + 12d = 2(d 3) + 22 You are visually examining (looking at) organs in a body. You say "The spleen is enlarged and there are clots visible on the inferior lateral area of the sigmoid colon." You are performing a? pplllzzz help and pplllzzz trryyyPart One:Respond to each question below in your own words and in complete sentences.Why did slavery start in the colonies?How were slaves brought to the colonies?What types of jobs did slaves do in each colonial region: New England, Middle and the South?Why were the jobs in each region different?Part Two:Respond to each question below in your own words and in complete sentences.What difficulties did slaves face?What alternatives to slavery do you think the colonists could have used to solve the labor shortage? Why are flowers brightly colored?