To determine the input value for which the statement f(x) = g(x) holds true, you need to find the values of x that make the functions f and g equal to each other.
This typically involves setting up the equation f(x) = g(x) and solving for x. For example, if f(x) = 2x + 3 and g(x) = x + 5, you would solve the equation:
2x + 3 = x + 5
By simplifying this equation, you isolate x:
2x - x = 5 - 3
x = 2
So, in this case, the input value x = 2 is where f(x) equals g(x).
In general, the approach can vary depending on the complexity of the functions involved, so make sure to consider each function carefully and check for multiple solutions or intersection points if applicable.