Question

#24Graph the function and tell wether or not it has a point of discontinuity at x = 0. If there is a discontinuity, tell wether it is removable or non removable.

Answer 1

We have the function:

g(x) = x/(x - 2)

Notice that if x = 2 the denominator equals zero and then we have a vertical asymptote at x = 2. Furthermore, if x = 0, g(0) = 0.

The graph of g(x) is shown below:

As you can notice, there is no a discontinuity at x = 0.