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 ( -∞, ∞)

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Related Questions

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

​

 

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%

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

please help i will give brainliest

Answers

Answer:

Step-by-step explanation:

C

My question that I need help on

Answers

Answer:

Step-by-step explanation:

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

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:

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

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

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

Answers

I think the answer is 13

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

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 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

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:

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

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

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

6/7 is in simplest form

Answers

Answer:

6/7 is the simplest form.

Hope this helps :)

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

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

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

Answers

the greatest common factor would be 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

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

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

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

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.

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

Answers

Answer:  Area = 6.64966

Step-by-step explanation:

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

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.
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