Find the domain of the rational expression.

f (x) = - 3/x^2-2x-35

all real numbers except - 5 and 7

Step-by-step explanation:

The function ...

f (x) = - 3 / (x^2-2x-35) = - 3 / ((x+5) (x - 7))

is undefined where the denominator is zero. The values of x that make the denominator zero are - 5 and + 7, so the domain is all real numbers except those.