Question

f(x)=(5x^2-5x-3)/(-9x-36)
What condition is on the domain of the rational function

Answer 1

In a rational function, problems with the domain come from x in the denominator.
What value can a denominator NOT have?

Answer 2

0

Answer 3

Correct.
Since a denominator of zero is not allowed, you need to find what value(s) of x will cause a denominator of zero.
To do that, take the denominator and set it equal to zero. Then solve for x.
Whatever x is equal to is the value x cannot have and is a restriction on the domain.