Function Composition: Let the functions and , determine:

Given

f(x) = 2x² + 1g(x) = 3x - 1

#1

f · g(5) = f(g(5)) = f(3*5 - 1) = f(14) = 2(14²) + 1 = 393

#2

g · f(-3) = g(f(-3)) = g(2(-3)² + 1) = g(19) = 3(19) - 1 =56

#3

g · f(x) = g(f(x)) = g( 2x² + 1) = 3(2x² + 1) - 1 = 6x² + 3 - 1 = 6x² + 2

#4

f · g(-x) = f(g(-x)) = f(3(-x) - 1) =f(-3x - 1) = 2(-3x - 1)² + 1 = 2(9x² + 6x + 1) + 1 = 18x² + 12x + 2 + 1 = 18x² + 12x + 3

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