Question

Order the steps to find the inverse. Like what is step 1 then 2 then 3 then 4

Answer 1

In order to find the inverse of a function, the first step is "replace f(x) with y".

Then, the second step is "swap x and y".

The third step is "solve for y".

And finally, the fourth step is "change y to f^-1(x)".

For example, let's find the inverse function of f(x) = 2x:

$\begin{gathered} f(x)=2x \\ y=2x \\ x=2y \\ y=\frac{x}{2} \\ f^{-1}(x)=\frac{x}{2} \end{gathered}$