Learn how to find inverse functions with step-by-step guidance and examples, enhancing your understanding of this fundamental algebra concept.

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

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 …

This is an exceptionally useful rule, as it opens up a whole world of functions (and equations!) we can now differentiate. Also learn how to use all the different derivative rules together in a …

Properties of inverse trigonometric functions Properties of ITFs Proving identities involving ITFs Using Trig identities on ITFs

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 …

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.

In the first inverse function video, I talked about how a function and their inverse-- they are the reflection over the line y equals x. So where's the line y equals x here?

Sal introduces arcsine, which is the inverse function of sine, and discusses its principal range.

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!