The compositions f(g(x)) and g(f(x)) of functions f and g are shown on the graph. Which statements describe the compositions? Check all that apply.

Question

Revolt · Accepted Answer

f(g(x)) = g(f(x)) for at least one value of x.; f(g(0)) = 5 and g(f(–2.5)) = 5.; Both f(g(x)) and g(f(x)) have the same domain.; The graphs show that function composition is not commutative.

Composition of Functions and Modeling

The compositions f(g(x)) and g(f(x)) of functions f and g are shown on the graph. Which statements describe the compositions? Check all that apply.

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