Find the Inverse of a Rational Function

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An interactive step by step worksheet to find the inveres of a rational function is presented. As many examples as required may be generated interactively along with their solutions and detailed explanations. The graph of the given function and its inverse are included at the bottom of the page to understand the properties of the graph of the inverse.

Step by step solution

STEP 1: Write the function as an equation replacing $f(x)$ by $y$.

STEP 2: Solve for $x$ the equation obtained in step 1.

STEP 3: Interchange $x$ and $y$ in the above equation.

STEP 4: Write the inverse function.

Graphical Meaning of Solution

Below are shown that the graph of $f$ (green) and $f^{-1}$ (blue) are reflection of each other on the line $y=x$ (red). (Change scales if necessary)