What is the domain of #(-3x^2)/(x^2+4x-45)#?
The domain is all the real
In this division you must ensure to avoid a division by zero, i.e., to have a zero in the denominator.
The denominator is equal to zero when:
This is a quadratic equation that you can solve, say, using the Quadratic Formula.
so you have two values of
These two values cannot be used by your function. All the other values of