For this case we must find the inverse of the following function:[tex]f (x) = 4x[/tex]
We follow the steps below:
We change f(x) to y:
[tex]y = 4x[/tex]
We exchange the variables:
[tex]x = 4y[/tex]
We solve for and:
[tex]4y = x[/tex]
We divide between 4 on both sides of the equation:
[tex]y = \frac {x} {4}[/tex]
then y by [tex]f ^ {-1} (x):[/tex]
[tex]f ^ {- 1} (x) = \frac {x} {4}[/tex]
ANswer:
[tex]f ^ {- 1} (x) = \frac {x} {4}[/tex]
