Question

Let f(x) = 3x2 – x + 2 and g(x) = 5x2 – 1. Find f(g(x)). Show each step of your work.

Answer 1

substitute g(x) in the place of x in the f(x) expression to find f(g(x))...

Answer 2

idk how

Answer 3

put g(x) into the x in the f(x) equation.
5x^2 -1 --\ \textgreater \ 3(5x^2-1)^2 - (5x^2 - 1)^2

Then, all you have to do is simplify.
f(g[x]) = 3(25x^4 - 10x^2 + 1) - 25x^2-10x^2+1
f(g[x]) = 3(25x^4 - 10x^2 + 1) - 1(25x^2-10x^2+1)
f(g[x]) = 2(25x^4 - 10x^2 + 1)
f(g[x]) = 50x^4 - 20x^2 + 2

????