Question

Suppose f(x) = 3x +3, g(x) = (x + 2)^2 + 2, and h(x) = 2.

Evaluate 2 f(5) - 1/2 (g(3))^2 + h(3)f(3) – 2=

Answer 1

Explanation:

2 f(5) - 1/2 (g(3))² + h(3)f(3) – 2

f(5) = f(x =5) = 3*5 +3 = 15+3 =18

g(3) = g(x =3) = (3 + 2)² + 2 = 5²+2 = 25+2 =27

h(3) = 2, because h(x) does not depend on x

f(3) = f(x=3) = 3*3 +3 = 9+3 = 12

Substitute in the given expression to evaluate:

2 *18 - 1/2 (27)² + 2*12– 2 =

36 -364.5 +24 -2 =

-306.5