1. If g(x) = 3x^3 - 4x^2 + 5, find g(-2).
3(-2)^3 - 4(-2)^2 + 5 = 3(-8) - 4(4) + 5 = -24 - 16 + 5 = -35 (B)
2. If f(x) = -x + 4 and g(x) = x^2 - 5, then g(f(-1)) = ?
f(-1) = 1+4 = 5
g(5) = 25 - 5 = 20 (E)
3. If f(x) = x^2 and g(x) = 3x + 1, then f(g(2))= ?
g(2) = 6 + 1 = 7
f(7) = 49 (E)
4. If f(x) = - 2x^2 + 2x - 3, what is f(5)?
f(5) = -2(25) + 10 - 3 = -50 + 10 - 3 = -43 (B)