Choose the domain for which each function is defined

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

good bye

step-by-step explanation: