Question

Which represents the imverse of the function f(x) = 4x?

Answer 1

For this case we must find the inverse of the following function:
`f (x) = 4x`

We follow the steps below:

We change f(x) to y:

`y = 4x`

We exchange the variables:

`x = 4y`

We solve for and:

`4y = x`

We divide between 4 on both sides of the equation:

`y = \frac {x} {4}`

then y by
`f ^ {-1} (x):`

`f ^ {- 1} (x) = \frac {x} {4}`

ANswer:

`f ^ {- 1} (x) = \frac {x} {4}`