Given That F(X) = 2X + 1 And G(X) = −5X + 2, Solve For F(G(X)) When X = 3.

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Question

Given that f(x) = 2x 1 and g(x) = −5x 2, solve for f(g(x)) when x = 3.

Answer

F(x) = 2x + 1g(x) = -5x + 2f(g(x)) = 2(-5x + 2) + 1 = -10x + 4 + 1 = -10x + 5f(g(3)) = -10(3) + 5 = -30 + 5 = -25

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