Find each of the following functions. f(x) = x ? 1, g(x) = x^2 + 2x + 4 (a) f co

a) f0g = x^2 + 2x + 4 - 1 = x^2 + 2x + 3 b) g0f = (x-1)^2 + 2(x-1) + 4 = x^2 - 2x + 1 + 2x - 2 + 4 = x^2 + 3 c) f0f = (x-1)-1 = x- 2

ID: 2977645 • Letter: F

Question

Find each of the following functions. f(x) = x ? 1, g(x) = x^2 + 2x + 4

(a) f compose g State the domain of the function. (Enter your answer using interval notation.)

(b) g compose f _______? State the domain of the function. (Enter your answer using interval notation.)

(d) g compose g _________? Find each of the following functions. f(x) = 2 ? 4x, g(x) = cos x

(a) f compose g ___________? State the domain of the function. (Enter your answer using interval notation.)

(b) g compose f ___________? State the domain of the function. (Enter your answer using interval notation.)

(d) g compose g ___________? State the domain of the function. (Enter your answer using interval notation.)

f0g = x^2 + 2x + 4 - 1 = x^2 + 2x + 3

g0f = (x-1)^2 + 2(x-1) + 4 = x^2 - 2x + 1 + 2x - 2 + 4 = x^2 + 3

f0f = (x-1)-1 = x- 2

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