Inverse Functions
Key points
- The inverse of a function is the “reverse” of the original.
- It is graphed as the reflection of the original function over the line y=x
- Follow the four steps to find the inverse of a function.
Inverse Functions have the reverse effect of the original. Inputs are put through the reverse of the function to find the outputs.
- Effectively, this is a reflection of the graph of function over the line y=x.
- This line is known as the identity function.
- An inverse function is written as f to the exponent of -1.
- By this reflection, the corresponding x and y values are ‘swapped’ within the ordered pair.
Taking a function and finding its inverse is done in four steps:
1. Replace f(x) with y.
2. Swap y and x.
3. Simplify for y.
4. Replace y with f^-1(x)
Subscribe to the Inertia Newsletter
IB News, Covid-19 Updates, Deadlines, Tips and Tricks, and Hundreds of Free Resources are Awaiting You!
Features
- IB Question Bank
- Thousands of IB Questions
- Practice Exams
- Detailed Answers
- Ask-A-Question System
