Question

Use the following functions for questions 2–8:

f(x) = 3 - 2x
g(x)
h(x) = 3x2 + 2
2. Find (f + g)(x) *
Your answer
This is a required question.
3. Find h(-2).
Your answer
4. Find (g+h)(4) *
Your answer

Answer 1

Without the function g(x), the sums (f + g)(x) and (g + h)(4) cannot be calculated. However, h(-2) can be determined, yielding 14, and the value of h(4) is 50.

Step-by-step explanation:

To find the sum of two functions (f + g)(x), we combine them term by term. However, since the function g(x) is not provided, we cannot calculate (f + g)(x). For question 3, h(-2) involves substituting -2 into the function h(x), resulting in h(-2) = 3(-2)^2 + 2 = 3(4) + 2 = 14.

For question 4, without the function g(x), we cannot find (g + h)(4). However, we can provide the value of h(4) by substituting 4 into h(x), which is h(4) = 3(4)^2 + 2 = 3(16) + 2 = 50. Remember, in mathematics, it's essential to have all necessary information to solve a problem. In this case, the absence of g(x) limits our ability to answer questions 2 and 4 fully.