Question

Given h(x) = x^2 + 1 and g(x) = -4x - 4, find (h + g)(8).

a) 43
b) 57
c) 65
d) 73

Answer 1

The value of (h + g)(8) for the given functions is 57. (Option B)

Step-by-step explanation:

In the context of evaluating the sum of functions h and g at the specific point x = 8, the resulting value of (h + g)(8) is found to be 57. This computation involves applying the definition of function sum, where (h + g)(x) represents the sum of functions h and g at the given input. By evaluating each function at x = 8 and combining their values, we arrive at the conclusive result of 57.

Definition of function sum:

(h + g)(x) denotes the sum of functions h and g evaluated at x.

Evaluating h(8) and g(8):

h(8) = 8^2 + 1 = 65

g(8) = -4 * 8 - 4 = -36

Sum of function values:

(h + g)(8) = h(8) + g(8)

(h + g)(8) = 65 + (-36)

(h + g)(8) = 57

Thus, the value of (h + g)(8) is 57.

Option B is answer.