Answer
Please see the graph.
Work Step by Step
$f(x)=5x-5$
$y=5x-5$
$x=5y-5$
$x+5=5y-5+5$
$x+5=5y$
$(x+5)/5=5y/5$
$(x+5)/5=y$
$f(x)^{-1}=(x+5)/5$
Inverse function: $(x+5)/5=f(x)^{-1}$
Blue line: $f(x)^{-1}=(x+5)/5$
Red line: $f(x) =5x-5$