we are given
[tex] f(x)=-\frac{1}{5} x-1 [/tex]
Inverse function:
we can set f(x)=y
[tex] y=-\frac{1}{5} x-1 [/tex]
now, we can switch x and y
[tex] x=-\frac{1}{5} y-1 [/tex]
now, we can solve for y
[tex] 5x=-5*\frac{1}{5} y-5 [/tex]
[tex] 5x=-y-5 [/tex]
[tex] y=-5x-5 [/tex]
[tex] f^{-1}=-5x-5 [/tex].........Answer
graph:
we can draw graph
