Question

How do you verify that `f(x)=-2x-3; g(x)=-1/2x-3/2` are inverses?

Answer 1

`"see explanation"`

Explanation:

`f(x)" and " g(x)" are inverses if"`

`• f(g(x))=x" or " g(f(x))=x`

`f(g(x))=f(-1/2x-3/2)`

`color(white)(f(g(x)))=-2(-1/2x-3/2)-3`

`color(white)(f(g(x)))=x+3-3`

`color(white)(f(g(x)))=x`

`rArrf(x)" and " g(x)" are inverses"`