[tex]f^{-1}(x)=x-5[/tex]
1) To find out the inverse function of a function we need to swap the variables, and then isolate the y variable on the left, like this:
[tex]\begin{gathered} f(x)=x+5 \\ y=x+5 \\ x=y+5 \\ x-y=y-y+5 \\ x-y=5 \\ -x+x-y=5-x \\ -y=5-x \\ y=x-5 \\ f^{-1}(x)=x-5 \end{gathered}[/tex]
Note that after that, we can isolate and then divide the whole function by -1
2) Hence, the answer is:
[tex]f^{-1}(x)=x-5[/tex]
