# Lesson Plan: Inverse of a Function Mathematics • 10th Grade

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to find the inverse of a function by changing the subject of the formula.

#### Objectives

Students will be able to

• recognize the notation for the inverse function: generally the inverse of a function, , is ,
• recognize that if an invertible function, , maps an input, , to an output, , then maps the variable, , to ,
• recognize the conditions for which a function is invertible and be able to state the domain and range of an inverse function,
• evaluate the inverse function from a function mapping diagram, a table of values, or a graph,
• find the inverse of an invertible function, , by changing the subject from to .

#### Prerequisites

Students should already be familiar with

• the definition of a function,
• one to one functions,
• domains and ranges of functions,
• graphs of functions,
• how to change the subject of a formula.

#### Exclusions

Students will not cover

• trigonometric inverses,
• exponential or logarithmic functions,
• graphs of inverse functions.