Mathematics High School

If f(x) = x2 - 1 and g(x) = 2x - 3, what is the domain of (fog)(x)?

Answers

Answer 1

Answer:

domain will be ( -∞, ∞)

Step-by-step explanation:

The given functions are f(x) = x² - 1 and g(x) = 2x - 3

We have to find domain of (fog)(x)

We will find the function (fg)(x) first.

(fog)(x) = f[g(x)]

         = (2x - 3)²

         = 4x² + 9 - 12x - 1

        = 4x² - 12x + 8

       = 4 (x² - 3x + 2)

The given function is defined for all values of x.

Therefore, domain will be ( -∞, ∞)

https://brainly.com/question/2458431

Related Questions

in a supermarket, bottles of lemonade are on a buy one get one half price offer.
The normal price of lemonade is 82p.
How much would it cost to get exactly three bottles of lemonade using this offer?
£

Answers

Answer: 114p

Step-by-step explanation:

Hope it helps

what is the correct answer to: 0.9 x (8.2 x 20.35)

Answers

Answer:

150.183

Step-by-step explanation:

0.9 x (8.2 x 20.35) =

0.9 x (166.87) =

150.183

Find the value of

-12
20
36
-10

Answers

Answer:

20 is the answer.

Step-by-step explanation:

(-4)² + (-2)²=> 16 + 4=> 20

Conclusion:

Therefore, 20 is the answer.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

(-4)²+(-2)²16+420

Option B

Mandee invested $360 in a savings account earning 1.8%
interest compounded continuously for 2.5 years.

Answers

Answer:    The final balance is $412.03.

The total compound interest is $52.03.

Step-by-step explanation:

Find
Area of triangle when base is 4cm and angles 60 and 70

Answers

Answer:  Area = 6.64966

Step-by-step explanation:

Nate's recipe calls for 3 cups of flour, but all of his
measuring cups are dirty. He remembers that there are
16 tablespoons in a cup How many tablespoons of four
should he use in his recipe?

Answers

He should use 48 tablespoons of flour in his recipe.

What is the slope of a line if x equals (-2 and y equals 4?

Answers

Answer:

can't be determined unless you give two points which is two sets of x and y points

Kennedy made 12 3/8 cups of tea. She and her friends drank 7 1/4 cups. How much was left?

Answers

Answer: 5 1/8 cups

Step-by-step explanation:

Make 1/4 to 2/8 the. Subtract 3/8 by 2/8

1/4 = 2/8

3/8 - 2/8 = 1/8

Then subtract 12 and 7

12 - 7 = 5

Finally add 5 and 1/8

5 + 1/8 = 5 1/8 cups

Urgent!!! thank uuuu!

Answers

Answer:

2. 0.93

3. 1.13

Step-by-step explanation:

2. 0.93

decreasing means - to the 100%

3. 1.13

increasing means + to 100%

An oil tanker is leaking at a constant rate per minute. After 11 minutes, 931 gallons of oil remain in the tanker. After 18 minutes, 633 gallons of oil remain in the tanker. Write the function f(t) that describes this scenario.

Answers

The  function f(t) that describes this scenario will be A = -42.57t + 1399.28

Let the amount of oil remaining after time t be ALet the time taken be "t"

This required linear expression will be given as A= mt + b

Writing the gallons of oil and the time taken as a coordinate point (A, t), these are given as (11, 931) and (18, 633)

m is the rate of change = 633-931/18-11

m = -298/7

m = -42.57

Get the intercept;

633 = -42.57(18) + b

633 = -766.29 + b

b = 1,399.28

Heence the  function f(t) that describes this scenario will be A = -42.57t + 1399.28

Learn more on functions here; https://brainly.com/question/17431959

Eva is flying a kite, holding her hands a distance of 2.75 feet above the ground and
letting all the kite's string play out. She measures the angle of elevation from her
hand to the kite to be 25°. If the string from the kite to her hand is 130 feet long, how
many feet is the kite above the ground? Round your answer to the nearest tenth of a
foot if necessary.

Answers

Answer: 57.7 feet above the ground

sin 25= opposite/hypotenuse

 = x/130

130 sin 25 = x

x=54.940374

54.940374+2.75 = 57.7

​

 

Which best describes the transformation(s) from f(x) to g(x) ? A. Vertical shift down 2, less steep B. Vertical shift down 4, less steep C. Vertical shift down 4, double the slope D. Half as steep

Answers

Answer:

b

Step-by-step explanation:

ive never seen the word less than steep used but ik none of the other ones are right and that it moves down vertically by 4

After her party, Kayla had 4 4/5 trays of brownies left over. Her 2 party guests each took home the same amount of leftover brownies. How many trays of brownies did each guest take home?

Answers

Answer:2.4 or 12/5

Step-by-step explanation:  (4 4/5)/2 = 2.4

Which equation is NOT a linear function?
y = x - 2
y = 2x
y= x to the 2nd power
y=x+2


Answers

Answer:

the 3rd one is not linear

y= x to the 2nd power

which table can be represented by the equation y=3x+2

Answers

I think the answer is 13

72% of ______ days is 18 days.

Answers

Answer:

25 days

Step-by-step explanation:

lets the blank = x

Convert 72% to decimal: 0.72

0.72x = 18

x = 18/0.72

x = 25

-Chetan K

Please answer this ASAP
Solve for x.
5x−3=13−3x

A: x=-2
B: x= -5
C: x=2
D: x=5

Answers

Answer:

c: x=2

Step-by-step explanation:

5x-3= 13-3x

   +3      +3

5x=16-3x

+3      +3

8x=16

divide all of it by 8 and thats how you get your answer

6/7 is in simplest form

Answers

Answer:

6/7 is the simplest form.

Hope this helps :)

Using the picture below, which angle is alternate exterior to angle 2?

Answers

It’s 7 because it is on the exterior, and the other side, of the the parallel lines from 2.

My question that I need help on

Answers

Answer:

Step-by-step explanation:

What is the result when the number 15 is increased by 20%

Answers

Answer:

75

Step-by-step explanation:

15 divided by .20 = 75

75
20% is .20 and
15/.20 = 75 therefore your answer should be 75

Find the greatest common factor of 15c and 8c2.

Answers

the greatest common factor would be c

6x-2 (x-5) = 46 what’s x

Answers

Answer:

x = 9

Step-by-step explanation:

6x - 2(x - 5) = 46 ← distribute parenthesis and simplify left side

6x - 2x + 10 = 46

4x + 10 = 46 ( subtract 10 from both sides )

4x = 36 ( divide both sides by 4 )

x = 9

What is the distance between 10 and 17 on the number line?

Answers

Find the difference:

17 - 10 = 7

So the distance between 10 and 17 is 7 on a number line.

The difference between 10 and 17 on a number line is 7.
17 - 10 = 7
The difference is 7

please help i will give brainliest

Answers

Answer:

Step-by-step explanation:

C

I need so much help with this question

Answers

Step-by-step explanation:

Looking at the graph, we can see that

A = (3, -3)

B = (10, -5)

C = (6, -8)

Reflecting over the y axis means reflecting over the big, bold vertical line in the middle. To do this for a point (x, y) simply means changing the x value to -x. For example, to reflect (6, 7) over the y axis, we would turn it into (-6, 7)

A' = (-3, -3)

B' = (-10, -5)

C' = (-6, -8)

Plot these points on the graph and connect them to get your new triangle

What are some possible solutions for the following?

Answers

Answer:

After solving the problem, the answer is x>1/2. However I do not see the answer choice provided so I do not know the answer to the question

Step-by-step explanation:

Jessie has $120 saved and earns $40 each month in
allowance. Peter has $180 saved and earns $20 a month
in allowance. If they both save their entire allowances,
how long will it take before Jessie and Peter have saved
the same amount of money?

Answers

Answer:

3 months

Step-by-step explanation:

Jessie starts with $120 and get $40 a month

peter has $180 and get $20 a month

1 month passed Jessie now has $160 and Peter has $200

2 months passed Jessie now has $200 and Peter has $220

3 months passed Jessie now has $240 and Peter has $240

Help please. I dont know how to do this :((

Answers

Answer:

You need the distance of all four sides so that is:

2 * (5y +1) + 2 * (2y -3) which equals

10y + 2 + 4y -6 and that equals

14y -4

Step-by-step explanation:

Hello!! :3

Please answer the question below.

-hello10olleh (hello)

Answers

Answer:

sequence B

Step-by-step explanation:

Answer:

IT SHALL BE Bbbbbbbbbbbbbbbbbbbbbbbbbbbb

HoPe ThIs HeLpS

Other Questions
Pls Find the value of x three benefits attributed to all psychotherapies are: What are the three main elements of an effective introduction for an informative essay?A-the hook,supporting evidence, and examplesB- transitions,examples,and thesis statement C- the hook, background information, and supporting evidence D-background information,examples,and supporting evidence Which postulate proves the two triangles are congruent? SSSAASThere is not enought information to prove they are congruent AAASASASA Anna spent 8 hours reading a book. This is twice as long as Kim spent reading her book. Write anequation that can be used to find the number of hours, h, Kim spent reading her book. Which of the following function pairs are inverses? $12,500 is invested, part at 9% and the rest at 5%. If the interest earned from the amount invested at 9% exceeds the interest earned from the amount invested at 5% by $486.00, how much is invested at each rate? Whats is log17 divided by 4 List three limitations for measuring cell size Which particles within the atom are electricity charged?a. Electrons only.b. Neutrons only.c. Protons only.d. Electrons and protons.e. Protons and neurons. please answer even if there is already 1, last time i asked this i put a lot of points and a bot took them and i dont have time to wait for a second answer. im giving half points this time, 50, and i will give brainliest. dont be a cheapskate fishing for points either, dont answer if ur not gonna try. im sick of people doing that i just need help. its much appreciated if you can.every year in delaware there is a contest where people create cannons and catapults designed to launch pumpkins as far in the air as possible. the equation y = 15 + 110x - 16x^2 can be used to represent the height, y, of a launched pumpkin, where x is the time in seconds that the pumpkin has been in the air. what is the maximum height that the pumpkin reaches? how many seconds have passed when the pumpkin hits the ground? (hint: if the pumpkin hits the ground, its height is 0 feet)a. the pumpkins maximum height is 204.06 feet and it hits the ground after 7.01 seconds.b. the pumpkins maximum height is 3.44 feet and it hits the ground after 7.01 seconds.c. the pumpkins maximum height is 204.06 feet and it hits the ground after 3.44 secondsd. the pumpkins maximum height is 3.44 feet and it hits the ground after 204.05 seconds. there is somebody walking behind us.i think. ? this states that you can multiply the addends of a number and then add the products. PLs help me 30 points in total Need NOW PLEASE..... A company reports on the cash basis. During the company's first year of business, it had sales on account of $1,000,000, inventory purchases on account of $400,000, and other expenses of $200,000. At the end of the year, the company had accounts receivable, inventory, and inventory related accounts payable of $100,000, $10,000, and $50,000, respectively. What is the company's cash-basis income for its first year of operations most working conditions in factories during the late 1800s were considered which of the following A slowB unsafeC easyD safe A French class has a total of 31 students. The number of males is 7 more than the number of females. How many males and how many females are in the class? 53 1/3 in the form 53^n where n is a whole number Please help! If possible please show your work :D Thank you!Solve.