What operation does (f-g)(x) represent in terms of functions f and g?

The expression (f-g)(x) represents the operation of subtracting function g from function f. In mathematical terms, this means you are taking the output values of both functions at the input x and calculating the difference. Therefore, (f-g)(x) is defined as f(x) - g(x).

This operation allows you to find the value of the resulting function (f-g) at any specific point x by evaluating both f(x) and g(x) first, and then performing the subtraction. This is a fundamental concept in function operations where you can combine functions through addition, subtraction, multiplication, or division. In this case, subtraction is specifically what is being performed, leading to the conclusion that the correct representation of (f-g)(x) is indeed f(x) - g(x).