Question

Find and simplify the function (f +g) (10), given that f(x) = x + 4 and g(x) = x² +2.

Answer 1

116

Explanation:

note that (f + g)(x) = f(x) + g(x)

f(x) + g(x) = x + 4 + x² + 2 = x² + x + 6

To evaluate (f + g)(10) substitute x = 10 into f(x) + g(x), that is

x² + x + 6 = 10² + 10 + 6 = 100 + 10 + 6 = 116