This will display the locations serviced content. This will display the locations serviced content. This will display the locations serviced content.

Demo 1 Logo Demo 1 Logo Club Z!

In-Home & Online Tutoring

Get Math Help

Optional custom content. This can be any HTML containing text, images, links, etc... It will be displayed on all pages!
Demo 1 / Get Math Help

Inverse Function

Basic definition

The inverse function f^-1 of a function f is the function for which f(f^-1(x)) = x for any x.

Detailed definition

Given a function f(x), its inverse f^(-1)(x) is defined by f(f^(-1)(x)) = f^(-1)(f(x)) congruent x. Therefore, f(x) and f^(-1)(x) are reflections about the line y = x. In the Wolfram Language, inverse functions are represented using InverseFunction[f]. As noted by Feynman, the notation f^(-1) x is unfortunate because it conflicts with the common interpretation of a superscripted quantity as indicating a power, i.e., f^(-1) x = (1/f) x = x/f. It is therefore important to keep in mind that the symbols sin^(-1) z, cos^(-1) z, etc., refer to the inverse sine, inverse cosine, etc., and not to 1/sin z = csc z, 1/cos z = sec z, etc.

Related terms

bijective | composition | inverse | inverse function theorem | inverse hyperbolic functions | inverse trigonometric functions | series reversion

Related Wolfram Language symbol

InverseFunction

Educational grade level

high school level (California Algebra II standard)

Why Club Z!?

We're Awesome!

Vestibulum vitae aliquam nunc. Suspendisse mollis metus ac tellus egestas pharetra. Suspendisse at viverra purus. Pellentesque nec posuere ligula, eu congue leo. Integer vulputate tempor arcu. Vestibulum vulputate

We're Awesome!

Vestibulum vitae aliquam nunc. Suspendisse mollis metus ac tellus egestas pharetra. Suspendisse at viverra purus. Pellentesque nec posuere ligula, eu congue leo. Integer vulputate tempor arcu. Vestibulum vulputate Vestibulum vitae aliquam nunc. Suspendisse mollis metus ac tellus egestas pharetra. Suspendisse at viverra purus. Pellentesque nec posuere ligula, eu congue leo. Integer vulputate tempor arcu. Vestibulum vulputate

We're Awesome!

Vestibulum vitae aliquam nunc. Suspendisse mollis metus ac tellus egestas pharetra. Suspendisse at viverra purus. Pellentesque nec posuere ligula, eu congue leo. Integer vulputate tempor arcu. Vestibulum vulputate Vestibulum vitae aliquam nunc. Suspendisse mollis metus ac tellus egestas pharetra. Suspendisse at viverra purus. Pellentesque nec posuere ligula, eu congue leo. Integer vulputate tempor arcu. Vestibulum vulputate

We're Awesome!

Vestibulum vitae aliquam nunc. Suspendisse mollis metus ac tellus egestas pharetra. Suspendisse at viverra purus. Pellentesque nec posuere ligula, eu congue leo. Integer vulputate tempor arcu.

OUR PURPOSE

We tutor you in the subjects you need to help you progress.

Pre-K Reading Writing Math Science Studdy Skills

Subjects We Tutor

What Is Domain In Math

What Is Domain In Math ‘

Read More...
What Is Domain In Math

What Is Domain In Math ‘

Read More...
Volume of a Sphere

Volume of a Sphere ‘

Read More...
Area of a Triangle

Area of a Triangle ‘

Read More...
Distance Formula

Distance Formula ‘

Read More...
Distance Formula

Distance Formula ‘

Read More...
Volume of a Cylinder

Volume of a Cylinder ‘

Read More...
Find the right fit or it’s free.

We guarantee you’ll find the right tutor, or we’ll cover the first hour of your lesson.