Question

If (2, 1) lies on the graph of function f and (2, 5) lies on the graph of function g, what point must lie on the graph of f + g?

Answer 1

(2, 6)

Explanation:

(f + g)(x) = f(x) + g(x)

(2, 1) lies on the graph of function f. Therefore

(2, 1) → f(2) = 1

(2, 5) lies on the graph of function g. Therefore

(2, 5) → g(2) = 5

(f + g)(2) = f(2) + g(2) = 1 + 5 = 6 → (2, 6)