Question

Find the inverse of
`f(x) = x/4`

Answer 1

y = x /4

x = y/4

y/4 = x

y = 4x

f^-1(x)= 4x

Answer 2

For this case we must find the inverse of the following function:

`f (x) = \frac {x} {4}`

Then, we change
`f (x)`to y:

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

We exchange the variables:

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

We clear the value of the variable "y":

`y = 4x`

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

`f^(-1) (x) = 4x`

Thus, the inverse of the function is
`f^(-1) (x) = 4x`

Answer:

`f^(-1)(x) = 4x`