Answer
$f^{-1}(x)=x+5$
Refer to the attached image below for the graph of the function and its inverse.
Work Step by Step
Replace $f(x)$ by $y$ to have:
$y=x-5$
Interchange $x$ and $y$ then solve for $y$ to have:
$x = y-5
\\x+5 = y
\\y=x+5$
Replace $y$ with $f^{-1}(x)$ to have:
$f^{-1}(x)=x+5$
Create a table of values for each function (refer to attached image below).
Then, plot each ordered pair and connect them using a line to complete the graph (refer to the attached image in the answer part to see the graph).