Question

Explain how to find the inverse of f(x) = (x –1)/4

Answer 1

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 $f^{-1}(x)$.

Apply these steps on your equation:

$f(x)= \frac{x-1}{4} \\ 4f(x)=x-1\\ 4f(x)+1=x$

Swap now::

$4x+1=f^{-1}(x)$

I hope that helps!