Respuesta :

The function given is

[tex]f(x)=4x[/tex]

We are to find the inverse of the function

let f(x) =y

[tex]y=4x[/tex]

Then, we make x the subject of the formula from here

[tex]\begin{gathered} y=4x \\ x=\frac{y}{4} \\ x=\frac{1}{4}y \end{gathered}[/tex]

Then The inverse of the function becomes

[tex]f(x)=\frac{1}{4}x[/tex]

Therefore the fourth option is correct