Inverse functions
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The document discusses finding the inverse of a function. It defines an inverse function as one that reverses another function by mapping the output back to the input. To find the inverse, you replace the function notation with the output variable, switch the input and output variables, solve for the output variable, and replace it with inverse function notation. Finally, you should check your work.
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Inverse functions
- 1. Finding the inverse using function notation
- 2. What is the Inverse of a function? In mathematics, an inverse function is a function that "reverses" another function. That is, if f is a function mapping x to y, then the inverse function of f maps y back to x.
- 3. Inverse Notation When the relation is also a function, f(x), you can write the inverse of the f(x) as
- 4. Now solve for y Now that was easy How to find the inverse of a function
- 5. How to find the inverse of a function: STEP 1: Stick "y" in for the "f(x)." STEP 2: Switch the x and y. STEP 3: Solve for y. STEP 4: Replace y with THEN, CHECK IT! Step-by-Step
- 6. Find the inverse of Step 1: Step 2: Step 3: Step 4:
- 7. YOUR TURN: Find the inverse Message me your results