For this case we must find the reversal of the following function:[tex]f (x) = 4x[/tex]
For it:
We change[tex]f (x)[/tex] by y:[tex]y = 4x[/tex]
We exchange the variables:
[tex]x = 4y[/tex]
We cleared "y":
[tex]y = \frac {x} {4}[/tex]
We change y for [tex]f^{-1}(x)[/tex]:
[tex]f ^ {- 1} (x) = \frac {x} {4}[/tex]
Answer:
The inverse of the given function is:[tex]f ^ {-1} (x) = \frac {x} {4}[/tex]
