Question

If 517g * (-5) = 2, 8 * (-5) = -2, f(-5) = 0.3, and f'(-5) = -1, what is the value of h(-5) where h(x) = f(x) * g(x)? Show your work.

a) 0.3
b) 0.15
c) -0.15
d) -0.3

Answer 1

The student's question about the value of h(-5) cannot be solved with the given information due to contradictory values for g(-5). We would need accurate, consistent values to determine h(-5).

Step-by-step explanation:

The student has asked for the value of h(-5) where h(x) is the product of two functions f(x) and g(x). To find h(-5), we must find the values of f(-5) and g(-5) and multiply them together. We are given that f(-5) = 0.3. We are not directly given g(-5), but we are given two products: 517g * (-5) = 2 and 8 *(-5) = -2. Since these products involve g * (-5) and result in known outcomes, we can use this information to determine that g(-5) = -1/517 and g(-5) = -1/8, respectively. However, these two values are contradictory, which indicates that there may be a misunderstanding or mistake in the information provided. Assuming there is a typo in the statement of the problem and proceeding with either one of these values will not result in a valid answer to the question. In conclusion, given the contradictory information, we cannot accurately determine the value of h(-5).