Finding Inverse of a Rational Function
In this lesson, we learn how to find the inverse of a rational function and verify that it’s the correct inverse. The first step is to switch the f of x to y and interchange the x and y to represent that the domain and range are switched. Then, we solve for y and get the inverse function. To verify that the functions are inverses, we do the composition of f and f inverse, ensuring that they both reduce down to x.
How to find the inverse of a rational function and verify its inverse
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- How must you rewrite your f(x) before you proceed to find its' inverse?
- What happens to the values of y and x in an inverse function?
- After the interchange of x and y what must you do?
- Which expression would become f(inverse)x ?
- How would you verify the inverse you got?
