Learn how to find the formula of the inverse function of a given function. For example, find the inverse of f (x)=3x+2.

Sal explains what inverse functions are. Then he explains how to algebraically find the inverse of a function and looks at the graphical relationship between inverse functions. Created by Sal Khan.

Not all functions have inverses. Those who do are called "invertible." Learn how we can tell whether a function is invertible or not. Inverse functions, in the most general sense, are functions that "reverse" …

Since we know all of our side lengths now, we just need to use the inverse functions to calculate our angles. Let's find out angle O: angle O is adjacent to line OE, opposite of line ZE, and our …

In other words, we can find another function that will take us back to where we started. For example, a function that adds 2 to a number is invertible: the inverse function would subtract 2 from a number.

Learn how to find the inverse of a function and how to graph it in this video. The inverse function swaps the x and y values of the original function, and the graph of this inverse function is a reflection of the …

But the general idea, you literally just-- a function is originally expressed, is solved for y in terms of x. You just do some algebra. Solve for x in terms of y, and that's essentially your inverse function as a …

Sal explains that if f (a)=b, then f ⁻¹ (b)=a, or in other words, the inverse function of f outputs a when its input is b.

By starting out with a function, you know it passes the vertical line test by definition. However, for its inverse to be a function, it also has to pass the horizontal line test to insure the one-to-one …

You'll learn how to find and represent inverse functions, restrict domains to ensure functionality, and use compositions to verify inverses. Unit guides are here!