Question

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.

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

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))