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MAT 105: College Algebra
3.7 Inverse Functions
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MAT 105: College Algebra: 3.7 Inverse Functions
Getting Started
1.1 Real Numbers: Algebra Essentials
1.2 Exponents and Scientific Notation
1.3 Radicals and Rational Exponents
1.4 Polynomials
1.5 Factoring Polynomials
1.6 Rational Expressions
2.1 The Rectangular Coordinate Systems and Graphs
2.2 Linear Equations in One Variable
2.3 Models and Applications
2.4 Complex Numbers
2.5 Quadratic Equations
2.6 Other Types of Equations
2.7 Linear Inequalities and Absolute Value Inequalities
3.1 Functions and Function Notation
3.2 Domain and Range
3.3 Rates of Change and Behavior of Graphs
3.4 Composition of Functions
3.5 Transformation of Functions
3.6 Absolute Value Functions
3.7 Inverse Functions
4.1 Linear Functions
4.2 Modeling with Linear Functions
4.3 Fitting Linear Models to Data
5.1 Quadratic Functions
5.2 Power Functions and Polynomial Functions
5.3 Graphs of Polynomial Functions
5.4 Dividing Polynomials
5.5 Zeros of Polynomial Functions
5.6 Rational Functions
5.7 Inverses and Radical Functions
5.8 Modeling Using Variation
6.1 Exponential Functions
6.2 Graphs of Exponential Functions
6.3 Logarithmic Functions
6.4 Graphs of Logarithmic Functions
6.5 Logarithmic Properties
6.6 Exponential and Logarithmic Equations
6.7 Exponential and Logarithmic Models
6.8 Fitting Exponential Models to Data
7.1 Systems of Linear Equations: Two Variables
7.2 Systems of Linear Equations: Three Variables
7.3 Systems of Nonlinear Equations and Inequalities: Two Variables
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3.7 Inverse Functions
3.7 Inverse Functions
Learning Objectives
In this section, you will:
Verify inverse functions,
Determine the domain and range of a inverse function, and restrict the domain of a function to make it one-to-one,
Find or evaluate the inverse of a function,
Use the graph of a one-to-one function to graph its inverse function on the same axes.
Verify Inverse Functions
End of Slides for this Section
Determine the Domain and Range of an Inverse Function
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Find or Evaluate the Inverse of a Function
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Use the Graph of a One-to-One Function to Graph its Inverse Function on the Same Axes
End of Slides for this Section
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3.6 Absolute Value Functions
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4.1 Linear Functions >>