• #### Composition of Functions - Concept

##### Math›Algebra 2›Functions
How to calculate the composition of functions.
• #### Composition of Functions - Problem 1

##### Math›Algebra 2›Functions
How to calculate the composition of functions.
• #### Proving Two Functions are Inverses - Problem 4

##### Math›Algebra 2›Inverse, Exponential and Logarithmic Functions
Using composition of functions to verify that pairs of exponential and logarithmic functions are inverses.
• #### Proving Two Functions are Inverses - Problem 3

##### Math›Algebra 2›Inverse, Exponential and Logarithmic Functions
Examples of using composition of functions to prove that two functions are inverses, including those with domain restrictions.
• #### Continuous Functions - Problem 3

##### Math›Calculus›Limits and Continuity
How to show that compositions of continuous functions are continuous functions.
• #### Proving Two Functions are Inverses - Problem 1

##### Math›Algebra 2›Inverse, Exponential and Logarithmic Functions
How to use composition of functions to show two functions are inverses.
• #### Proving Two Functions are Inverses - Problem 2

##### Math›Algebra 2›Inverse, Exponential and Logarithmic Functions
How to use composition of functions to show two functions are not inverses.
• #### Proving Two Functions are Inverses - Concept

##### Math›Algebra 2›Inverse, Exponential and Logarithmic Functions
How to use algebra to show that two functions are inverses.
• #### Evaluating Limits Algebraically, Part 1 - Problem 3

##### Math›Calculus›Limits and Continuity
How to evaluate the limit of a function using continuity.
• #### Evaluating Limits Algebraically, Part 2 - Problem 3

##### Math›Calculus›Limits and Continuity
How to evaluate the limit of a function at points where it is not continuous.
• #### The Chain Rule - Problem 2

##### Math›Calculus›Techniques of Differentiation
How to differentiate a composite function.
• #### The Chain Rule - Problem 1

##### Math›Calculus›Techniques of Differentiation
How to differentiate a composite function.
• #### The Chain Rule - Concept

##### Math›Calculus›Techniques of Differentiation
How to differentiate a composite function.
• #### The Chain Rule - Problem 3

##### Math›Calculus›Techniques of Differentiation
How to differentiate a composite function.
• #### The Chain Rule - Problem 4

##### Math›Calculus›Techniques of Differentiation
How to differentiate a composite function using the quotient rule and using the chain rule.
• #### Chain Rule: The General Exponential Rule - Problem 1

##### Math›Calculus›Techniques of Differentiation
How to differentiate a composite function when the outside function is exponential.
• #### Chain Rule: The General Exponential Rule - Problem 2

##### Math›Calculus›Techniques of Differentiation
How to differentiate a composite function when the outside function is exponential.
• #### Chain Rule: The General Exponential Rule - Problem 3

##### Math›Calculus›Techniques of Differentiation
How to differentiate a composite function when the outside function is exponential.
• #### Chain Rule: The General Exponential Rule - Concept

##### Math›Calculus›Techniques of Differentiation
How to differentiate a composite function when the outside function is exponential.
• #### The Second Derivative Test for Relative Maximum and Minimum - Problem 2

##### Math›Calculus›Applications of the Derivative
How to show that compositions of continuous functions are continuous functions.
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