Inverses and How to Find Them
by
alockridge
Last updated 9 years ago
Discipline:
Math Subject:
Pre-Calculus
Grade:
3


2.9: Inverses & How to Find Them (Equation)By: Hans Seebaluck
Basics!One-to-One: A function with domain A is called one-to-one if no 2 elements of A have the same image (y-value).How do you know if a function is One-to-One?A function is One-to-One if it passes the HORIZONTAL LINE TEST.
Examples: Passing :)
These two pass because the horizontal line only crosses the function once!
Examples: Failing :(
These two fail because the horizontal line crosses the function at 2 or more different points!
How to find the inverse of a function:
Step 1: Flip roles of "x" and "y"Ex: y=2x+1---> x=2y+1
Step 2: Solve for "y"x=2y+1 ---> x-1=2y ---> (x-1)/2=yStep 3: y=(x-1)/2 is the inverse of the original equation
-1
Original: f(x)
Inverse: f (x)
Another Example
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