Question

Letℎ()h(x)be the inverse of()f(x). Ifℎ()=−4+1h(x)=−4x+1, which of the following represents()f(x)?

Answer 1

In order to find f(x), we need to calculate the inverse of h(x)

`h(x)=-4x+1`

y=h(x)

`y=-4x+1`

We substitute x with y and y with x

`x=-4y+1`

Then we isolate the y

`4y=-x+1`
`y=-(1)/(4)x+(1)/(4)`

ANSWER

f(x) is

`f(x)=-(1)/(4)x+(1)/(4)`

The correct choice is the first one