Find the range of the following function Find the range of the following function:
$$f(x)=\frac{x-1}{x^2-5x-6}$$
I know how to find the domain only
Please provide an explanation.
EDIT: Another question: find the range of
$$f(x)=\frac{1}{(1-x)(5-x)}$$
How would we do that?

If we factor, we have $\dfrac{x-1}{(x+1)(x-6)}$, and since there are no holes in the graph of the function. There is a horizontal asymptote at $y=0$, but this function has a zero at $x=1$, and thus the value $y=0$ is reached. Therefore the function has range $(-\infty,\infty)$.
