Final answer:
To find (h - k)(x), substitute the given expressions for h(x) and k(x) into (h - k)(x) and simplify.
Step-by-step explanation:
To find (h - k)(x), we need to subtract k(x) from h(x).
Given that h(x) = 3x and k(x) = x-5, we can substitute these expressions into (h - k)(x).
(h - k)(x) = (3x) - (x-5)
Simplifying the expression, we get (h - k)(x) = 3x - x + 5
Combining like terms, we have (h - k)(x) = 2x + 5.