Question

Given that f(x) = 2x + 1, find g(x) if g(x) = 2[f(x)]^2 - 1

Answer 1

G(x) = 2[f(x)]^2 - 1 g(x) = 2[2x + 1]^2 - 1 g(x) = 2[$4 x^{2}$4x+1] - 1 g(x) = $4 x^{2} +4x+1$ - 1 g(x) = $4 x^{2} +4x$