Find f (g (x)) given that f (x) = 4x + 2 and g (x) = 2x^2

You can simply substitute the equations into f (g (x)).

First, substitute the equivalent expression for g (x). You are given g (x) = 2x^2.

f (g (x)) = f (2x^2)

2x^2 is now the new "x" in the given equation f (x) = 4x + 2. Replace the x's in f (x) = 4x + 2 with 2x^2.

f (x) = 4x + 2

f (2x^2) = 4 (2x^2) + 2

Finally simplify the expression.

4 (2x^2) + 2 = 8x^2 + 2