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Question Part Points Submissions Used Find the functions f g , g f , f f , and g

ID: 2895382 • Letter: Q

Question

Question Part Points Submissions Used Find the functions f g, g f, f f, and g g and their domains. f(x) = 4x + 5,    g(x) = 5x 1 Question Part Points Submissions Used Question Part Points Submissions Used Question Part Points Submissions Used Question Part Points Submissions Used Question Part Points Submissions Used Find the functions f g, g f, f f, and g g and their domains. f(x) = 4x + 5,    g(x) = 5x 1 Find the functions f g, g f, f f, and g g and their domains. f(x) = 4x + 5,    g(x) = 5x 1 f(x) = 4x + 5,    g(x) = 5x 1 f(x) = 4x + 5,    g(x) = 5x 1 Question Part Points Submissions Used

Explanation / Answer

(a) f o g(x) = f(g(x)) = 4(5x - 1) + 5 = 20x + 1

Domain is (-, )

(b) g o f(x) = g(f(x)) = 5(4x + 5) - 1 = 20x + 24

Domain is (-, )

(c) f o f(x) = f(f(x)) = 4(4x + 5) + 5 = 16x + 25

Domain is (-, )

(d) g o g(x) = g(g(x)) = 5(5x- 1) - 1 = 25x - 6

Domain is (-, )

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