Which pair of functions are inverses of each other? Wanting to make sure of answers in this pretest

The only pair of functions that are inverses of each other are the ones for option D.

Step-by-step explanation:

Two functions, f(x) and g(x), are inverses if and only if:

f( g(x) ) = x

g( f(x) ) = x

So we need to check that with all the given options.

A)

then:

This is clearly different than x, so f(x) and g(x) are not inverses.

B)

Then:

This is different than x, so f(x) and g(x) are not inverses.

C)

Then:

Obviously, this is different than x, so f(x) and g(x) are not inverses.

D)

Then:

In this case we can conclude that f(x) and g(x) are inverses of each other.

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step-by-step explanation:

answer: 1, 3 and 5 are correct

step-by-step explanation: