Finding Function Inverses


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A series of college algebra lectures:
Finding the Inverse of a Function
Finding the Inverse of a Function with Higher Powers.

The following diagrams show how to find the inverse of a function. Scroll down the page for more examples and solutions of finding inverse of functions.
Inverse of a Function

Finding the Inverse of a Function




How to find the inverse of a function?
The graphs of Inverse Functions always mirror each other about the line y = x.

Find the Inverse of a Rational Function
How to find the inverse of a rational function with x in both the numerator and denominator?

Inverse Functions - Domain & range- With Fractions, Square Roots, and Graphs
How to find the inverse function and how to express the domain and range using interval notation?

  1. How to the inverse of a linear function?
  2. Inverse of Rational Functions - Fractions.
  3. Factoring out the GCF / Greatest Common Factor to Solve for y
  4. Inverse Functions With Radicals - Square Roots & Cube Roots
  5. Switching X and Y to find the inverse function
  6. Inverse function notation - f-1(x) and f(x)
  7. How to determine if two functions are inverses of each other using composition of functions - f(g(x)) and g(f(x))
  8. Inverse of logarithmic and exponential functions
  9. Graphing inverse functions - reflection about the line y = x
  10. Finding the graph of the inverse function by switching the x and y coordinates
  11. horizontal line test for inverse functions - one to one
  12. vertical line test for functions
  13. Inverse functions - logarithms - lnx and ex - logs and ln
  14. Domain and Range of Inverse functions - interval notation


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