Question

HELP! Which of the following pairs of functions are inverses of each other?

Answer 1

one way is to solve for the invers of the first function

remembe, to solve, replace f(x) or g(x) with y, switch x and y, solve for y and replace it with f⁻¹(x)

A.

f(x)=x/2+8

y=x/2+8

x=y/2+8

x-8=y/2

2x-16=y

f⁻¹(x)=2x-16

nope, not A

B.

f(x)=3x³+16

y=3x³+16

x=3y³+16

x-16=3y³

(x-16)/3=y³

∛((x-16)/3)=y

f⁻¹(x)=∛((x-16)/3)

nope, not the same

not B

C.

f(x)=18/x-9

y=18/x-9

x=18/y-9

x+9=18/y

y(x+9)=18

y=18/(x+9)

f⁻¹(x)=18/(x+9)

correct, the answer is C

answer is C

Answer 2

Answer:

D.f(x)=3(x/2)-4 and g(x)=2(x+4)/3

Step-by-step explanation:

apexs