Question

complete the steps in order to write the inverse of $f(x) = x + 5$
1 $\boldsymbol{\underline{\quad\quad}} = x + 5$
2 $\boldsymbol{\underline{\quad\quad}} = y + 5$
3 $\boldsymbol{\underline{\quad\quad}} = y$
4 $\boldsymbol{\underline{\quad\quad}} = x - 5$

Explanation:

Step1: Replace $f(x)$ with $y$

$y = x + 5$

Step2: Swap $x$ and $y$

$x = y + 5$

Step3: Isolate $y$ by subtracting 5

$x - 5 = y$

Step4: Replace $y$ with $f^{-1}(x)$

$f^{-1}(x) = x - 5$

Answer:

1. $y$
2. $x$
3. $x - 5$
4. $f^{-1}(x)$