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?

the range of $f(x) = \dfrac{x-1}{(x+1)(x-6)}$ is $(-\infty, \infty).$ here is the reason. show that $\lim_{x \to -1+}f(x) = \infty$ and $\lim_{x \to 6-} f(x)= -\infty$ and $f$ is continuous in $(-1, 6).$  these three conditions imply the conclusion that the range of $f$ is $(-\infty, \infty).$
