Question

-f(x) = x + 10. Find the inverse of f(x).

Answer 1

The inverse of f(x) can be obtained as follows:

- replace f(x) in the given equation, as follows:

$f(x)=x+10$$\Rightarrow y=x+10$

- make x the subject of the formula, as follows:

$\begin{gathered} y=x+10 \\ \Rightarrow y-10=x \\ \Rightarrow x=y-10 \end{gathered}$

- Now, replace with y with x, and replace x with the inverse notation of f(x), as follows:

$\begin{gathered} x=y-10 \\ \Rightarrow f^{-1}(x)=x-10 \end{gathered}$

Thus, the inverse