Question

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

Answer 1

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

For it:

We change
`f (x)` by y:
`y = 4x`

We exchange the variables:

`x = 4y`

We cleared "y":

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

We change y for
`f^(-1)(x)`:

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

Answer:

The inverse of the given function is:
`f ^ {-1} (x) = \frac {x} {4}`