30 POINTS smart people only

Mathematics

1 answer:

stiv31 [10]3 years ago

4 0

Yes you're right.
The way to find out if functions are inverses of each other is to check and see if their composite functions are equal to x. Also make sure the functions are one to one functions.
(fog)(x)=f(g(x))=f(3/2x-9)
f(3/2x-9)=2/3(3/2x-9)+6
=(2/3)(3/2)x+(2/3)(-9/1)+6
=x-18/3+6
=x-6+6
I hope this helped! #Sobangcha

You might be interested in

On a number line, the distance from zero to -8 to 8? 8^2=64 |-8|=8 |-8|=-8 0+8=8

solmaris [256]

The answer should be B.

6 0

3 years ago

Which of the following is a perfect square trinomial?

Bezzdna [24]

Answer:

$D.~4x^2-20xy+25y^2$

Step-by-step explanation:

$4x^2-20xy+25y^2\\\\=(2x)^2-2\cdot 2x \cdot 5y+(5y)^2\\\\=(2x-5y)^2$

3 0

2 years ago

Each year, Kipp raises money by participating in the Walk for Breast Cancer. Last year, Mr. Madrid walked at a pace of 12 miles

Ilia_Sergeevich [38]

A.

The rate is 12:2

B.

Set up a proportion:

12/2 = x/5

Multiply 5 to both sides:

60/2 = x

Divide:

30 = x

So he will walk 30 miles in 5 hours.

C.

To find out, we can divide 12 / 2.

12 / 2 = 6 miles per hour

8 0

4 years ago

For what values of $x$ is it true that $x^2 - 5x - 4 \le 10$? Express your answer in interval notation.

dybincka [34]

Answer:

x ∈ [-2, 7]

Step-by-step explanation:

The given equation ...

x^2 -5x -4 ≤ 10

can be rewritten as ...

x^2 -5x -14 ≤ 0

and factored as ...

(x +2)(x -7) ≤ 0

Clearly, the "or equal to" condition will be met when x=-2 and x=7. For values of x between these numbers, one factor is negative and the other is positive. Hence the product will be negative. So, numbers in that interval are the solution set.

x ∈ [-2, 7]