Write a function formula for g using the function f.
g(x)=

Write a function formula for f using the function g.
f(x)=


Write A Function Formula Forgusing The Functionf.g(x)=Write A Function Formula Forfusing The Functiong.f(x)=

Answers

Answer 1

Answer:

g(x) = -f(x+3)

f(x) = -g(x-3)

Step-by-step explanation:

Transformations

Function f can be obtained by knowing function g and vice-versa.

Suppose we know the expression of function f. If we reflect f across the x-axis, we get function g but displaced 3 units to the right.

Thus, we only have to translate the reflected f 3 units to the left:

g(x) = -f(x+3)

Similarly, if g(x) is reflected across the x-axis and translated by 3 units to the right, we get f(x), thus:

f(x) = -g(x-3)


Related Questions

1. Write the postulate that confirms each statement. ​

Answers

Step-by-step explanation:

1. Angle GFH and Angle KFH forms linear pair

and hence they are supplementary

( sum of the angles = 180° )

Franklin made $165,000 for the tax year
2017. How much did he pay in FICA taxes ?

Answers

Answer: $‭10,278.9‬0

Step-by-step explanation:

FICA taxes comprise of both the Social Security tax and the Medicare tax rate which in 2017 were 6.2% and 1.45% of income respectively.

The Social security portion is subject to a limit of $127,200 in income but there is no limit for the Medicare tax.

Franklin FICA = (127,200 * 6.2%) + (165,000 * 1.45%)

= ‭7,886.4‬0 + ‭2,392.5‬0

= $‭10,278.9‬0

Right Triangle Trigonometry

Answers

Answer:

B. 8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Trigonometry

[Right Triangles Only] SOHCAHTOA[Right Triangles Only] cos∅ = adjacent over hypotenuse

Step-by-step explanation:

Step 1: Define

Angle = 37°

Adjacent Leg = x

Hypotenuse = 10

Step 2: Solve for x

Substitute [Cosine]:                    cos37° = x/10Isolate x:                                      10cos37° = xRewrite:                                       x = 10cos37°Evaluate:                                     x = 7.98636Round:                                         x ≈ 8

Step-by-step explanation:

please it my steps to work on paper whorksheet

Jonas received a gift card of 35.00 to use for an online app market to buy applications for his tablet. All applications cost 1.75. Which table represents the relationship between x, the number of apps Jonas can buy, and y, the balance remaining on his gift card

Answers

Answer:

Step-by-step explanation:

The table that represents this would have to be an inverse table where the higher the value of x increases the more the value of y decreases. That is because the more apps that he purchases the more money he spends which therefore decreases his remaining balance. Therefore the following table would represent this situation...

 x                y

---------------------

 1            35.00

 2           33.25

 3            31.50

 4            29.75

 5            28.00

 6            26.25

 7            24.50

 8            22.75

and so on...

peter and jane have $90 together if peter gave jane $16 he would have $14less than jane how much does peter originally have​

Answers

Answer:

peter = $54

jane = $36

Step-by-step explanation:

let peter = x

let jane = y

peter + jane = $90

x+y = 90 --------- (1)

peter gave jane $16 = x-16

jane gets extra $16 from peter = y+16

peter would have $14 less than jane

jane - peter = $14

(y+16)-(x-16) = 14

y+16-x+16 = 14

y-x+32 = 14

y-x = 14-32

y-x = -18 ---------- (2)

x+y = 90 --------- (1)

y-x = -18 --------- (2)

from (1)

x+y = 90

y = 90-x --------- (3)

substitute (3) into (2)

y-x = -18

90-x-x = -18

90-2x = -18

-2x = -18-90

-2x = -108

x = 54

substitute x = 54 into (3)

y = 90-x

y = 90-54

y = 36

x = peter = $54

y = jane = $36

The band director of Eagle Rock High School asks her students to have a carwash as a fundraiser. They are going to charge $7.50 per car. The graph that represents the situation is shown below. Which of the following statements about the graph are true? Select all that apply. o The graph represents a function since every input value corresponds to exactly one output value. o The graph has an x-intercept. o The graph has a y-intercept. o The y-intercept represents the amount of money raised by the carwash. o The amount of money in the band fundraiser account represents the input values. o The number of cars washed relates to the amount of money in the band fundraiser account.

Answers

Answer:

The y-intercept represents the amount of money raised by the carwash.

The graph has a y-intercept

Step-by-step explanation:

Most reasonable, and not only that it's true bc it's shown on the graph label. :)

PICTURE BELOW....................

Answers

Answer: C

Step-by-step explanation: 45 divided by 18 is 2.5

what is the answer to 5/6 times 4/3 =

Answers

Answer:

[tex]\frac{10}{9}[/tex]

Step-by-step explanation:

Answer: 10/9 or 1.111111111

Step-by-step explanation:

Write an equation in slope intercept form for the line that passes through the points (6,-3)and (0,2)

Answers

Answer:

y = [tex]\frac{5}{-6}[/tex]x + 2

Step-by-step explanation:

Given coordinates: (6,-3) (0,2)

y = mx + b

y = mx + 2

[tex]\frac{2+3}{0-6}[/tex] = [tex]\frac{5}{-6}[/tex]

y = [tex]\frac{5}{-6}[/tex]x + 2

Hayley and Tyra had lunch at
Ruby Tuesday. Their bill was
$22.40. If they leave a 15%
tip, how much is the tip?

Answers

22.40 * 0.15 = 3.36
The tip is $3.36
$3.36 hope this helps.
22.40*.15= 3.36

a line must contain at least three points
?

Answers

Answer:

A plane contains at least three non-collinear points. If two points lie in a plane, then the line containing them lies in the plane. If two planes intersect, then their intersection is a line.

Step-by-step explanation:

Please Explain and show answer

Answers

Looking at the graph. When x = 1, y = 15.

Meaning that each hours, the gallon of water will be filled in 15 gallons.

So in 10 hours, that'd be

10 × 15 = 150 gallons of water.

Therefore, the answer is 150 gallons of water.

HELPP QUICKKK its timedd

Answers

Answer:

10

Step-by-step explanation:

Which relation diagram represents a function?

Answers

Answer:

It is going to be the first one on the top left.

Step-by-step explanation:

the rule for something to be a function is every input must have exactly one output. now that does not mean that two different inputs cannot have the same output. but on a vertical line test every other one would be wrong.

A relation will be a function if for every single input there is only one output thus option (A) is correct.

What is a function?

A certain kind of relationship called a function binds inputs to essentially one output.

A function can be regarded as a computer, which is helpful.

The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.

As per the given diagrams,

A relation will be a function if for every single input there is only one output.

In the second diagram for input = 5 the output is 2 and -3 so it will not a function. Similarly third and fourth will also not function.

In the first diagram for  every single input there is only one output.

Hence "A relation will be a function if for every single input there is only one output".

For more about the function,

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I NEED HELP ASAP PLS

Answers

Answer:

Pretty sure it's D. y=2/1x

Answer:

y= 2/1 x

Step-by-step explanation:

Start from (-2,-4) rise up 4 and over 2 which means 4/2 simplify to 2/1

i. what is sec (17pi/3)

Answers

Answer:

1.05

Step-by-step explanation:

example sec x=1/cos x

sec(17pi/3)=1/(cos (17pi/3))=1.05029(type on calculator)=1.05

Hope it helps

What is the value of the expression below when x=5?

Answers

Answer:

790

Step-by-step explanation:

You put 5 instead of x and you calculat

6*5^3 +8*5= 750+40=790

The answer should be 790

The price of admission to the Everglades Historical Museum is $11 more for non-members than for members of the museum’s Friends of the Museum program.

If a group of 3 members and 4 non-members pays a total of $79 to visit the Museum, what is the cost, in dollars, of the ticket for one non-member?

Select one:
A. $9.00
B. $11.00
C. $15.00
D. $16.00

Answers

Answer:

d. $16.

Step-by-step explanation:

3 members (m) + 4 nonmembers (n) = $79

nonmembers = $11 more or n=m+11 so...

3m + 4(m+11)=79   [replace "n" with "m+11"]

3m + 4m + 44=79

7m + 44 = 79

7m=35 and reduced m=5 so members pay $5 and nonmembers pay 5+11=$16

if 7/12 is multiplied by a fraction less than 1 what would be the product

Answers

Answer:

Examples below

Step-by-step explanation:

We have the fraction

[tex]\frac{7}{12}[/tex]

It's required to multiply it by any fraction less than 1. Let's select the following fractions. All of them are less than 1 because the numerator is less than the denominator:

[tex]\frac{1}{7}[/tex]

[tex]\frac{4}{5}[/tex]

[tex]\frac{6}{35}[/tex]

The required products are:

[tex]\frac{7}{12}\cdot \frac{1}{7}=\frac{7}{7*12}=\frac{1}{12}[/tex]

[tex]\frac{7}{12}\cdot \frac{4}{5}=\frac{4*7}{12*5}=\frac{7}{15}[/tex]

[tex]\frac{7}{12}\cdot \frac{6}{35}=\frac{6*7}{12*35}=\frac{1}{10}[/tex]


Find the value of 'x'.
(x+40) (x+20)

Answers

the answer to your problem is 60=x

What is the sum of 2x-5y+x+y

Answers

Answer:

3x - 4y

Step-by-step explanation:

2x + -5y + x + y

Group Like terms:

2x + x + -5y + y

2x + x = 3x

-5y + y = -4y

3x - 4y

What is the measure of ∠XBC?

m∠XBC = m∠BAC + m∠BCA
3p – 6 = p + 4 + 84
3p – 6 = p + 88
2p – 6 = 88
2p = 94
m∠XBC =
°

Answers

Answer:

m∠XBC = 135

Step-by-step explanation:

What is the measure of ∠XBC?

m∠XBC = m∠BAC + m∠BCA

3p – 6 = p + 4 + 84

3p – 6 = p + 88

2p – 6 = 88

2p = 94

From the simplified expression, we need to find the value of p first

From the last line we can see that;

2p =94

Divide both sides by 2:

2p/2 =94/2

p = 47

From the expression, m∠XBC =3p-6

m∠XBC = 3(47)-6

m∠XBC = 141 -6

m∠XBC = 135

Hence the measure of m∠XBC is 135

Answer:

135 the person above e is correct

Step-by-step explanation:

I WILL GIVE BRAINLIST!!
Showthat (2x+i)(2x−i) = 4x2 +1

Answers

(2x + I) (2x-I) = 4x^2 + 1

Using the complex arithmetic rule:

(A + bi)(a-bi) = a^2 + b^2

A would be the 2x and b would be the i

So you would have:

(2x)^2 + (i)^2

(2x)^2 = 2x times 2x = 4x^2

i ^2 = 1

Final answer is 4x^2 + 1

The local amusement park is a popular field trip destination. This year the senior class at HighSchool A and the senior class at High School B both planned trips there. The senior class at HighSchool A rented and filled 6 vans and 7 buses with 292 students. High School B rented and filled2 vans and 14 buses with 494 students. Each van and each bus carried the same number of students. How many students can fit in a bus?

Answers

Answer:

How many students can fit in a bus? 34

Answer:

You can fit 34 students on a bus

Step-by-step explanation:

Hope this helps...

PLSSSSSS I NEED HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Simplify Expressions:
[tex]\sqrt{(3-\sqrt{19} )^{2} }[/tex]

Answers

Answer:

1.358899 or 3-\sqrt{19}

Step-by-step explanation:

either or

What is the quotient of 28 divided by 7 increased by 4

Answers

Answer:

8 beacaus the seven increased from 4

The quotient after increased by 4 is 8.

To calculate the quotient of 28 divided by 7, we perform the division and get:

28 ÷ 7

= 28/7

= (7 x 4)/ 7

= 4

Next, we are asked to increase this quotient by 4. Adding 4 to the quotient:

= 4 + 4

= 8.

Therefore, the quotient after increased by 4 is 8.

Learn more about Division here:

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mcgregor is growing alfalfa on 180 acres,which is 30% of his farmland. mcgregor has how many acres of farmland?

Answers

Answer:

600 acres

Step-by-step explanation:

Hope this helps!

The number of acres of land Mcgregor has 600 acres.

Given that, Mcgregor is growing alfalfa on 180 acres, which is 30% of his farmland.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Let the total number of acres be x.

So, 30% of x=180

⇒ 30/100 × x=180

⇒ 0.3x=180

⇒ x=180/0.3

⇒ x=600

Hence, the number of acres of land Mcgregor has 600 acres.

To learn more about the percentage visit:

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Please Help fast I don’t know

Answers

Choice 3 is the answer

Which subtraction problem does NOT require zero pairs to solve using chips ? ( PLEASE ANSWER ASAP )

Answers

Answer:

c.

Step-by-step explanation:

Answer:It is not C

Step-by-step explanation:

Ms manning arranges the desks in her classrooms in rows and columns. There are 4 rows. There are 6 desks in each row. How many desks are there in Manning classroom?

Answers

24 desks

Step-by-step explanation:

There are 24 desks because 4 rows multiplied by 6 desks in each row = 24 desks.

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