Question

1. The function h is the sum of the functions f(x)=3x+5 and g(x)=2x^2 - 6x - 2. Which represents h? A.h(x) = 5x^2 - x - 2 B. h(x) = 2x^2 - 3x + 3 C. h(x) = 2x^2 - 9x + 7

D. h(x) = -3x + 3

Answer 1

B. h(x) = 2x^2 - 3x + 3

Explanation:

Given

f(x)=3x+5

g(x)=2x^2 - 6x - 2

h(x) is sum of the functions f(x) and g(x)

Thus,

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

substituting value of f(x) and g(x) as given above we have

h(x) = 3x+5 + 2x^2 - 6x - 2

as ( 3x - 6x = -3x and 5- 2 = 3) , we have

h(x) = 2x^2 -3x + 3

Thus, correct answer is option B. h(x) = 2x^2 - 3x + 3.