Given that F (x) = x ^2 + 2, evaluate F (1) + F (5).

Part 1

Let's solve for f. fx = x2 + 2 Step 1: Divide both sides by x. fx x = x2 + 2 x f = x2 + 2 x Answer: f = x2 + 2 x

Part 2

Let's simplify step-by-step. f (1) + f (5) = f + 5f Combine Like Terms: = f + 5f = (f + 5f) = 6f Answer: = 6 f