Find the vertical asymptote x-4/x(x-4)
To find the vertical asymptote of the function f(x) = (x-4)/(x(x-4)), we need to determine the values of x where the function approaches infinity or negative infinity.
First, let's simplify the function by canceling out the common factor of (x-4) in both the numerator and the denominator:
f(x) = 1/x
Now, it is clear that the function approaches infinity when x approaches 0 from the positive side (x > 0) and approaches negative infinity when x approaches 0 from the negative side (x < 0).
Therefore, the vertical asymptote is x = 0.