What does the value of x=2 represent in graph of f(x)=4x(x-2)/(x-3)(x-2)
In the graph of the function f(x) = 4x(x-2)/(x-3)(x-2), the value of x = 2 represents a vertical asymptote.
When factoring the denominator (x-3)(x-2), we can see that the function has vertical asymptotes at x = 3 and x = 2. Therefore, when x = 2, the function is undefined.
This means that there is a vertical line at x = 2 where the function does not have a value. The graph will have an open hole or a "jump" at x = 2.