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

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

45

step-by-step explanation:

to find a percentage, add a decimal in front and multiply it by the other number.

.25 times 180= 45