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

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

Step-by-step 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.