Substituting into Equations, Show all Steps

Question

Given f(x) = 3x² - 5x + 2 and g(x) = 2x - 1, evaluate each expression:

b) f(g(-1))

c) f(f(2))

Answer 1

g(-1) =2x-1 =-3

f(g(-1)) = 3(-3)^2-5(-3) + 2 = 27+15+2 = 44

f(2) = 3(2)^2 -5(2) +2 = 12-10+2 = 4

f(f(2)) = 3(4)^2-5(4) +2 = 48 -20+2 = 30