Answer: (f+g)(x) = 8x - 6.
Explanation:
Here are the steps to find (f+g)(x):
1. Start with the two functions f(x) = 11x and g(x) = -3x - 6.
2. To add the two functions together, we need to add their corresponding x terms, so we get 11x + (-3x) = 8x.
3. Next, we add the constant term from the second function, which is -6, to get 8x + (-6) = 8x - 6.
4. So, the final result is (f+g)(x) = 8x - 6.
It's important to note that we are only adding the x-terms together, the constant terms are added separately, this applies to any other type of polynomials, and since they have different powers we can't add them.
So, in the end, we can think of it as adding two sets of ingredients together, the x-terms and the constant terms, to make the final recipe or equation in this case.