If and are two real functions where and , find the value of if possible.
The domain of is the intersection of the domains for and such that .
Recall that cannot be zero because real numbers are not divisible by zero.
Domain of :
The domain of is , from the denominator.
Recall that the denominator cannot be zero because real numbers cannot be divided by zero.
Therefore, the domain of is .
Domain of such that :
The domain of is , as it is for all polynomial functions.
However, implies .
Therefore, the domain of such that is .
So, the domain of is .
Therefore, the value is defined because domain of .