Which pair of funtions is not a pair of inverse functions?

Step-by-step explanation:

we know that

To find the inverse of a function, exchange variables x for y and y for x. Then clear the y-variable to get the inverse function.

we will proceed to verify each case to determine the solution of the problem

case A)

Find the inverse of f(x)

Let

y=f(x)

Exchange variables x for y and y for x

Isolate the variable y

Let

therefore

f(x) and g(x) are inverse functions

case B)

Find the inverse of f(x)

Let

y=f(x)

Exchange variables x for y and y for x

Isolate the variable y

Let

therefore

f(x) and g(x) are inverse functions

case C)

Find the inverse of f(x)

Let

y=f(x)

Exchange variables x for y and y for x

Isolate the variable y

fifth root both members

Let

therefore

f(x) and g(x) are inverse functions

case D)

Find the inverse of f(x)

Let

y=f(x)

Exchange variables x for y and y for x

Isolate the variable y

Let

therefore

f(x) and g(x) is not a pair of inverse functions

the last choice

step-by-step explanation: