Final answer:
The functions f(a) = 3(3 - 2) + 2 and h(x) = x - 2 are not inverse functions because f(a) is a constant function that outputs 5 regardless of the input a, whereas h(x) depends on x. Therefore, the statement that these functions are inverses is False.
Step-by-step explanation:
To determine if f(a) and h(x) are a pair of inverse functions, we need to check if one function undoes the action of the other. We have f(a) = 3(3 - 2) + 2, which simplifies to f(a) = 3(1) + 2 = 5. It is important to note that this expression does not contain the variable a, which means f(a) is a constant function and does not depend on a.
On the other hand, h(x) = x - 2 is a linear function where the variable x is directly involved. If these two functions were truly inverses, then the composition f(h(x)) would yield x, and the composition h(f(a)) would yield a. However, since f(a) is a constant, h(f(a)) would simply equal to 5 - 2 = 3, not a. Therefore, the statement that f(a) and h(x) are inverses is False.