Question

1. Sendo f(x) = 2x – 3 e g(x) = 4 – x², determine:

a) g(f(x))

Answer 1

f(x) = 2x - 3
g(x) = 4 - x²
g(f(x)) = 4 - (2x-3)²
g(f(x))= 4 - ( (2x)² - (3)²)
g(f(x))= 4 - (4x² -9)
g(f(x))= -4x² +13