20 Videos for "compositions of functions"

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.