Definition--Functions and Relations Concepts--Inverse Function
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Algebra >> Functions and Relations >> Functions and Their Inverses

Definition--Functions and Relations Concepts--Inverse Function

Inverse Function

Inverse Function Image

Topic

Functions and Relations

Definition

An inverse function is a function that reverses the effect of the original function, such that f(f−1(x)) = x.

Description

Inverse functions are important in mathematics because they allow us to reverse the operations of a function. This is useful in solving equations and understanding the relationship between variables. For example, if f(x) = 2x + 3, the inverse function f−1(x) would be (𝑥 − 3)/2. Inverse functions are used in various fields, including cryptography, where they help in encoding and decoding information. Understanding inverse functions is essential for solving complex mathematical problems and for applying mathematical models to real-world scenarios.

For a complete collection of terms related to functions and relations click on this link: Functions and Relations Collection

Common Core Standards CCSS.MATH.CONTENT.8.F.A.1, CCSS.MATH.CONTENT.8.F.B.5, CCSS.MATH.CONTENT.HSF.IF.A.1, CCSS.MATH.CONTENT.HSF.IF.A.2, CCSS.MATH.CONTENT.HSF.IF.C.7, CCSS.MATH.CONTENT.HSF.BF.A.1, CCSS.MATH.CONTENT.HSF.BF.B.3, CCSS.MATH.CONTENT.HSF.BF.B.4
Grade Range 6 - 9
Curriculum Nodes Algebra
    • Functions and Relations
        • Functions and Their Inverses
Copyright Year 2021
Keywords definition, function, relations, glossary terms