Use f(x) = 2x − 3 and g(x) = 4 − x^2 to evaluate the expression. (g ∘ g)(x)

Question

need help setting up problem and finding answer!

Answer 1

So, g(3) would be 4 - 3² = 4 - 9 = -5, right?

 

Instead, we have g(g(x)).

 

g(g(x)) = 4 - (4 - x²)² = 4 - (4 - x²)(4 - x²) = 4 - (16 - 8x² + x⁴ = -x⁴ + 8x² - 12