Answer:
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.