Answer: f-1(x) = x/5 - 10
Shortend: f(x)=5(x+10), f-1(x) = x/5 - 10
Steps:
The inverse can be found algebraically by switching x for y and y for x in the equation. You must then isolate y.
[tex]f(x)=5x+10\\y=5x+10\\x=5y+10\\x-10=5y\\\frac{x-10}{5} =y\\[/tex]
So, [tex]f^{-1} (x)=\frac{x-10}{5}[/tex]
