Simplify the function , and find its domain.
To simplify an algebraic fraction, we factorise the numerator and denominator
fully and remove any common factors.
Factorise the numerator.
Factorise the denominator.
Remove common factors of and .
The domain of an algebraic fractional function is because the fraction is not defined when the denominator is equal to 0.
Consider in its factorised form before the common factors were removed.
The set of zeros for the denominator is .
So, the domain of is .