Functions 10 - Inverse of a Function
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Lesson Summary:
This lesson is all about the inverse of a function. Not only do we learn the definition of an inverse function, but we also see how to find the inverse of a 1-1 function. The lesson includes several examples and even shows how to find the equation of an inverse function from a given function equation. By the end of the lesson, you'll be able to determine whether an inverse function is also a function and find the inverse of a line function.
Lesson Description:
Defines the inverse of a function, an inverse function, and shows how to find the inverse of 1-1 functions.
More free YouTube videos by Julie Harland are organized at http://yourmathgal.com
Questions answered by this video:
- What is the definition of the inverse of a function?
- How do you find the inverse of a function?
- How do you find the inverse of the function f = {(5, 3), (-1, 0), (4, 2)}?
- How do you find the inverse of the function g = {(4, 1), (3, 1), (0, 1)}?
- How do you find the inverse of the function f(x) = 3x - 4?
- What does f^-1 mean if f is a function?
- If f is a 1-1 function where f(-2) = 3 and f(1) = 4, what are two ordered pairs that belong to the inverse of f?
- What are the steps for finding the inverse of a function?
- How do you solve for y after you swap x and y in a function to find the inverse?
- What do the graphs of a function and its inverse look like?
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Staff Review
This lesson explains what the inverse of a function is, what it means to find the inverse of a function, and shows some examples of finding the inverse of some various functions. All steps involved are shown and explained clearly. This is a great tutorial on inverses of functions.
