The input value that produces the same output value for the two functions on the graph is; x = 3
From the attached graph, we see the two functions represented by;
Blue line which is g(x)
Red line which is f(x)
Now, the input values are all values of x that can be traced to a corresponding value of y on the function lines.
Now, from the graph we see that the to lines meet at the coordinate (3, -1). Thus, the input value that produces the same output value is x = 3.
Read more about Linear Equation Graphs at; https://brainly.com/question/14323743
