jmc

Question

Consider the function f(x) = 2x^2 - 4x + 9. Evaluate 2f(3) + 3f(-3).

Accepted Answer

We have f(3) = 2(3^2) - 4 3 + 9 = 18 - 12 + 9 = 15 and f(-3) = 2(-3)^2 - 4(-3) + 9 = 18 +12+9 = 39. So, we have 2f(3)+3f(-3) = 2(15) + 3(39) = 30 + 117 = 147.