Question

Find the vertical asymptotes, if any, of the graph of the rational function. Show your work.


f(x) = (x-4)/(x(x-4))

How would I show my work?
the x-4 cancel out and I am left with 1/x. The vertical asymp. is x= 0

Answer 1

that is correct. There is a hole in the graph at x=4, because there

f(x) = 0/0

which is undefined.

f(x) = 1/x everywhere except at x=4.