Given the functions, f (x) = 2x 2 - 1 and g (x) = 5x, complete parts A and B. A. Find f (g (x)) and g (f (x)). Include your work in your final answer. B. In two or more complete sentences, explain how the process of evaluating f (g (x)) and g (f (x)) differs for the given functions.

Question

Mathematics

Krish Fox

25 June, 08:11

Given the functions, f (x) = 2x 2 - 1 and g (x) = 5x, complete parts A and B. A. Find f (g (x)) and g (f (x)). Include your work in your final answer. B. In two or more complete sentences, explain how the process of evaluating f (g (x)) and g (f (x)) differs for the given functions.

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Answers (1)

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Karsyn Carroll · Answer 1

f (g (x)) = 2 (5x) ^2-1=2 (25x^2) - 1=50x^2-1

g ((f (x)) = 5 (2x^2-1) = 10x^2-5

Step-by-step explanation:

f:A->B f (X) = 2X^2-1, g (X) = 5X

f (g (x)) = 2 (g (x)) ^2-1, g (f (x)) = 5 (f (x))