Respuesta :

To get the inverse of any function f(x) [ just make sure that it passes the horizontal line test] follow the steps:

- Solve for x, i.e separate x in one side and the other terms in the other side, included f(x).

- Swap x and f(x).

- The result is the inverse of the original function [tex]f^{-1}(x)[/tex].



Apply these steps on your equation:

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

Swap now::

[tex]4x+1=f^{-1}(x)[/tex]



I hope that helps!



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