Question

I NEED HELP WITH THIS ASAP!! Please!

(I need a detailed explanation!)

f(x) = (3x^2 - 4x + 2)
g(x) = (2x^3 - 2)
Find f(g(x)) and f(g(3))
Show all work!

Answer 1

f(g(x)) = 3(2x^3 -2)^2 - 4x + 2, and f(g(3)) = 3[2(3)^3 -2]^2 -4*3 -2 = 8102

Explanation:

because for f(g(x)), the g(x) is the input of f(x), so put 2x^3 -2 into 3x^2 -4x +2, and you will get f(g(x)). because g(3) is the input of f(x), so find g(3) first, the answer is 52, and then put it back into f(x) which will be f(52) =[3(52)^2 - 4(3) +2], then the answer should be 8102.