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christylivingsowzxa2
christylivingsowzxa2
02.09.2021 • 
Mathematics

On a coordinate plane, g (f (x)) is a parabola that opens down. It goes through (negative 3.5, 1), has a vertex at (negative 2.5, 5), and goes through (negative 1.5, 0.5). F (g (x)) is a parabola that opens down. It goes through (negative 1.5, 0.5), has a vertex at (0, 5), and goes through (1.5, 0.5). 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. f(g(x)) = g(f(x)) for at least one value of x. The composition of f and g is commutative. 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.

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