Algebra
posted by Joy
Find (f◦g)(x) and (g◦f)(x).
f(x)=4x(squared)+3; g(x)=4x−2(f◦g)(x)=______(Simplify your answer.)
I keep getting lost on these f(x) and g(x)problems

Steve
(f◦g) = f(g) = 4g^2+3 = 4(4x2)^2+3
(g◦f) = g(f) = 4f2 = 4(4x^2+3)2
now just simplify
sometimes it helps not to include all those (x)'s
(f◦g)(x) = f(g(x)) = f(4x2) = 4(4x2)^2+3
you can replace g first or evaluate f(g) and then plug in g
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