Question

Which Of the following pairs of functions are inverse of each other?

Answer 1

One way is to solve for the inverse of the first function

remember, 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.

$f(x)=x/2+8\\y=x/2+8\\x=y/2+8\\x-8=y/2$

$2x-16=y$

$f^{-1}=2x-16$

nope, not A

What is the inverse function?

The inverse function of a function f is a function that undoes the operation of f. The inverse of f exists if and only if f is bijective, and if it exists, is denoted by ${\displaystyle f^{-1}.}$

B.

$f(x)=3x^3+16\\y=3x^3+16x=3y^3+16\\x-16=3y^3\\(x-16)/3=y^3$

$f^{-1}(x)=\sqrt[3]{((x-16)/3)}$

nope, not the same

not B

C.

$f(x)=18/x-9\\y=18/x-9\\x=18/y-9\\x+9=18/y\\y(x+9)=18\\y=18/(x+9)\\f^{-1}(x)=18/(x+9)$

The correct, answer is C.

To learn more about the inverse function visit:

brainly.com/question/2972832

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