Question

Which two functions are inverses of each other?

Of(x) = x, g(x) =-x
Ax) = 2x, g(x)
Ax) = 4x g(x) =
Ax) = -8x, g(x) = 8x

Answer 1

i think its C on EDG 2020

Explanation:

4x and 1/4

Answer 2

The choices were typed wrong, but we can find the inverse of each option.

For function
`f(x)=x` the inverse is the same function
`g(x)=x`, because an inverse of a function is where their composition gives the independent variable as unique result.

If we do that with each function, we have:

`f((g(x))=x`; where
`f(x)=x` and
`g(x)=x`, we have

`f((g(x))=x\\x=x`

So they are inverse.

For
`f(x)=2x` its inverse would be
`g(x)=(1)/(2)x`, because

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

For
`f(x)=4x`, its inverse is
`g(x)=(1)/(4)x`, because

`f(g(x))=4((1)/(4)x)=x`

For
`f(x)=-8x`, its inverse is
`g(x)=-(1)/(8)x`, because

`f(g(x))=-8(-(1)/(8)x)=x`

There you have all inverses. Basically, if their composition results in
`x`, that means they are inverse.