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Learn what function composition is, how to to work with composite functions, and how to find the formulas of the composition of two functions.
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.
Sal solves the following problem: Given that h(x)=3x and g(t)=-2t-2-h(t), find h(g(8)).
Given the formulas of two functions, evaluate the composition of the two functions at a given input.
Given the graphs, or some tables of values, of two functions, evaluate the composition of those functions at a given input.
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)).
Given the formulas of two functions, find the formula of their composition.