Answer
The inverse of the function $f\left( x \right)=x-10$ is ${{f}^{-1}}\left( x \right)=x+10$.
Work Step by Step
$f\left( x \right)=x-10$
Evaluate the inverse of the function $f\left( x \right)=x-10$ as follows.
Replace the function $f\left( x \right)$ with $y$.
$y=x-10$
Interchange the variables $x$ and $y$.
$x=y-10$
Solve for the value of y.
$y=x+10$
Replace y with ${{f}^{-1}}\left( x \right)$ as follows.
${{f}^{-1}}\left( x \right)=x+10$
