Answer
The inverse of a one-to-one function can be determined by the use the horizontal line test.
Work Step by Step
We have to apply the Horizontal Line Test in order to determine and check if the function is one-to-one when the horizontal line drawn anywhere on the graph intersects the graph at not more than one point.
So the inverse of a one-to-one function can be determined by the following process:
Assume$y=f\left( x \right)$
Then, put y with x.
So, $x=f\left( y \right)$
Now solve for the value of y such that ${{f}^{-1}}\left( x \right)=y$
Thus, the result of the above expression is the inverse of a one-to-one function.
