Question

Sendo f(x)= 2x+1 e g(x)= x²-1, determine: a)f(g(0)) b) g(f(2)) c) f(f(-1)) d) g(g(-2))

Answer 1

a)f(g(0)) = 2(x²-1)+1 = 2x² - 2 + 1 = 2x² - 1

b) g(f(2)) = (2.2+1)² - 1 = 25 - 1 = 24

c) f(f(-1)) = 2(2.(-1)+1)+1 = -1

d) g(g(-2)) = ((-2)² - 1)² - 1 = 8