Question

Given the functions below, find each of the following.

Answer 1

Answer: (f + h) (x) First option

(f - h) (x) Fourth option

(h + f) (x) First option

(h - f) (x) Fifth option

Step-by-step explanation: The only question I might have is why did they make you add h + f and f + h. That was kind of confusing because they equal the same thing.

The only way this would make sense is if it would allow you to drag multiple of the same options to different areas.

The reason why h+f and f+h are equal is because of the communitive property of addition. No matter how you add the same numbers it the result will stay the same.

The only reason why the subtraction functions had different answers is because if you subtract with a negative instead of subtracting it you would add it.

Answer 2

Answer/ Step-by-step explanation: To find the values of the given expressions, we need to know the functions f(x) and h(x). Without that information, we cannot determine the specific values. However, we can explain the general concept and steps involved in evaluating these expressions.

1. (f + h)(x): This expression represents the sum of the functions f(x) and h(x). To find the value of (f + h)(x) at a specific value of x, we need to evaluate f(x) and h(x) separately and then add their results together.

2. (f - h)(x): This expression represents the difference between the functions f(x) and h(x). To find the value of (f - h)(x) at a specific value of x, we need to evaluate f(x) and h(x) separately and then subtract h(x) from f(x).

3. (h + f)(x): This expression represents the sum of the functions h(x) and f(x). The process to evaluate (h + f)(x) is the same as in (f + h)(x), where we evaluate h(x) and f(x) separately and then add their results together.

4. (h - f)(x): This expression represents the difference between the functions h(x) and f(x). The process to evaluate (h - f)(x) is the same as in (f - h)(x), where we evaluate h(x) and f(x) separately and then subtract f(x) from h(x).

In summary, to find the values of these expressions, we need to know the specific functions f(x) and h(x) involved. Once we have those functions, we can evaluate each function separately and then perform the specified operations to find the values of the given expressions.