Composing functions

3 videos
3 skills
Learn what function composition is, how to to work with composite functions, and how to find the formulas of the composition of two functions.

Introduction to function composition

VIDEO 6:15 minutes
Sal explains what it means to compose two functions. He gives examples for finding the values of composite functions given the equations, the graphs, or tables of values of the two composed functions.

How to evaluate a composite function given the formulas of the composed functions (example)

VIDEO 4:11 minutes
Sal solves the following problem: Given that h(x)=3x and g(t)=-2t-2-h(t), find h(g(8)).

Evaluate composite functions from formulas

PRACTICE PROBLEMS
Given the formulas of two functions, evaluate the composition of the two functions at a given input.

Evaluate composite functions from graphs and tables

PRACTICE PROBLEMS
Given the graphs, or some tables of values, of two functions, evaluate the composition of those functions at a given input.

How to find the formula of a composite function given the formulas of the composed functions (example)

VIDEO 2:57 minutes
Sal solves the following problem: Given that f(x)=√(x^2-1) and g(x)=x/(1+x), find f(g(x)) and g(f(x)).

Compose functions

PRACTICE PROBLEMS
Given the formulas of two functions, find the formula of their composition.