Definition of Inverse - Concept

Concept Concept (1)

The definition of a function can be extended to define the definition of inverse of a function. Along with one to one functions, invertible functions are an important type of function. The definition of inverse says that a function's inverse switches its domain and range. The definition of inverse helps students to understand the unique characteristics of the graphs of invertible functions.

Sample Sample Problems (5)

Need help with "Definition of Inverse" problems? Watch expert teachers solve similar problems to develop your skills.

Definition of Inverse - Problem 1
f(x) f⁻¹(x)
Domain: Domain:
Range: Range:
Problem 1
How to find the domain and range of an inverse.
Definition of Inverse - Problem 2

If f(x) = 2x,

find f⁻¹(8).
Problem 2
How to find the inverse of a point.
Definition of Inverse - Problem 3
Problem 3
Examples of finding the inverse of a function using three methods.
Definition of Inverse - Problem 4
Problem 4
Overview of inverse functions and related vocabulary.
Definition of Inverse - Problem 5
Problem 5
Overview of the vocabulary of functions, including inverse, relation, function, input, output, and domain and range