Final answer:
It is not possible to confidently determine the input value for which g(x) = 3 without further information on the form of the function g(x). The actual process involves solving the equation by substituting the input values until the output is 3, which depends on the function's specific definition.
Step-by-step explanation:
The question lacks full context to determine precisely what function g(x) represents; therefore, it is not possible to determine the input value for which g(x) = 3 without additional information. However, the concept typically applies to finding the x-value that will fulfill the equation when plugged into the function.
For example, if g(x) is a linear function like g(x) = x, then the input value would indeed be 3 since plugging 3 into the function yields 3. If the function is quadratic, such as g(x) = x2, one would solve the equation x2 = 3 by taking the square root of both sides, which would not yield an integer. So in such a case, neither 1 nor -1 would be correct, and the solution would instead be ±√3, which is not an option listed. Without the specific form of g(x), however, we cannot confidently choose an answer from the provided options.