Question

How do i use composition of functions to determine whether the functions in each pair are inverse functions?

y=2x-3 and y=2x+3

Answer 1

f(g(x)) does not equal x, so the functions are not inverses.

Explanation:

This is how to figure this out:

Write `y=2x-3` as `f(x)=2x-3`, and write `y=2x+3` as:
`g(x)=2x+3`

Determine:
`f(g(x))= 2(2x+3)-3`
`=4x+3`

So, since f(g(x)) doesn't equal x, the functions are not inverses!

Hope this helps!