Question

Let h(x) = 4x - 2 and g(x) = x^2 + 2x + 4. Find (h*g)(0).

A. 0
B. -2
C. 6
D. 10

Answer 1

To find (h*g)(0), we calculate h(0) and g(0) as -2 and 4, respectively, then multiply to get -8. However, this result does not align with the provided answer choices, indicating a potential error in the question or options.

Step-by-step explanation:

The question asks to find (h*g)(0), which means you need to multiply the function h(x) by g(x) and then evaluate the result when x is 0.

First, let's find h(0) and g(0):

• h(0) = 4(0) - 2 = -2
• g(0) = (0)^2 + 2(0) + 4 = 4

Now, multiply these values together to get (h*g)(0):

(h*g)(0) = h(0) * g(0) = (-2) * 4 = -8

However, this does not match any of the options provided, suggesting there may have been a mistake in the question or the given options.