Answer:
Part 1) ----->
Part 2) ---->
Part 3) ----> All real numbers
Part 4) ---->
Step-by-step explanation:
we know that
The domain of a function is the set of all possible values of x
Part 1) we have
we know that
In a quotient the denominator cannot be equal to zero
so
For the value of x=0 the function is not defined
therefore
The domain is
Part 2) we have
we know that
In a quotient the denominator cannot be equal to zero
so
For the value of x=-4 the function is not defined
therefore
The domain is
Part 3) we have
Applying the distributive property
This is a vertical parabola open upward
The function is defined by all the values of x
therefore
The domain is all real numbers
Part 4) we have
we know that
In a quotient the denominator cannot be equal to zero
so
Equate the denominator to zero
Remember that
(
The solution is x=-4
so
For the value of x=-4 the function is not defined
therefore
The domain is