Maths-
General
Easy
Question
Find the product and the domain ?
Hint:
The expansion of the identity,
. We have to state the domain of a rational expression while simplifying them because we must exclude zeros of a denominator as dividing with zero is not defined.
We are asked to simplify the expression and give its domain.
The correct answer is: the domain of the expression set of real values minus the additive inverse of x.
Step 1 of 2:
Simplify the expression and cancel out the common factors;
Thus, the simplified expression is 
Step 2 of 2:
The domain of a rational expression should exclude the values for which the denominator attains a zero values. So, when
Here, both x and y are variables. To avoid getting a zero in the denominator y should not take the negative value of x. That is, it should not be the additive inverse of x.
So, the domain of the expression set of real values minus the additive inverse of x.
Additive inverse of a value x is the value y for which x + y = 0.
Related Questions to study
Maths-
How does understanding operations with fractions help you multiply and divide rational expressions?
How does understanding operations with fractions help you multiply and divide rational expressions?
Maths-General
Maths-
The company compares the ratios of surface area to volume for two more containers . One is a rectangular prism with a square base. The other is rectangular prism with a rectangular base. One side of the base is equal to the side length of first container. And the other side is twice as long. The Surface area of this second container is 
. The heights of two containers are equal. Which has the smaller surface area -to – Volume ratio?
The company compares the ratios of surface area to volume for two more containers . One is a rectangular prism with a square base. The other is rectangular prism with a rectangular base. One side of the base is equal to the side length of first container. And the other side is twice as long. The Surface area of this second container is . The heights of two containers are equal. Which has the smaller surface area -to – Volume ratio?
Maths-General
Maths-
Let D= { -2, -1, 0, 1, 2}. Is D a subset of itself ? Explain.
Note: Every set is a subset of itself.
Let D= { -2, -1, 0, 1, 2}. Is D a subset of itself ? Explain.
Maths-General
Note: Every set is a subset of itself.
Maths-
Is the difference of a rational number and an irrational number always irrational ?
Is the difference of a rational number and an irrational number always irrational ?
Maths-General
Maths-
Find the product and the domain ?
Find the product and the domain ?
Maths-General
Maths-
Is the Product of a rational number and irrational number rational or irrational ? Explain with an example.
Is the Product of a rational number and irrational number rational or irrational ? Explain with an example.
Maths-General
Maths-
Is the sum of a rational number and irrational number rational or irrational ? Explain with an example.
Is the sum of a rational number and irrational number rational or irrational ? Explain with an example.
Maths-General
Maths-
Is the product of two rational numbers always a rational number ?Explain with an example.
Is the product of two rational numbers always a rational number ?Explain with an example.
Maths-General
Maths-
Brie designed a carnival game that involves tossing a beanbag into the box shown. In order to win a prize , the beanbag must fall inside the black rectangle . The Probability of winning is equal to the ratio of the area of the black rectangle to the total area of the face of the box shown. Find this probability in simplified form .
Brie designed a carnival game that involves tossing a beanbag into the box shown. In order to win a prize , the beanbag must fall inside the black rectangle . The Probability of winning is equal to the ratio of the area of the black rectangle to the total area of the face of the box shown. Find this probability in simplified form .
Maths-General
Maths-
A Company is evaluating two packaging options for its product line. The more efficient design will have the lesser ratio of surface area to volume. Should the company use packages that are cylinders or rectangular prisms ?
A Company is evaluating two packaging options for its product line. The more efficient design will have the lesser ratio of surface area to volume. Should the company use packages that are cylinders or rectangular prisms ?
Maths-General
Maths-
Find the product and the domain ?
Find the product and the domain ?
Maths-General
Maths-
Is the sum of two rational numbers always a rational number ?
Is the sum of two rational numbers always a rational number ?
Maths-General
Maths-
Order each set of cards from least to greatest 
Order each set of cards from least to greatest
Maths-General
Maths-
Find the simplified Quotient and the domain of each expression
Find the simplified Quotient and the domain of each expression
Maths-General
Maths-
A Parallelogram with an area of 
square units has a height shown. Find the length of the base of the Parallelogram ?
A Parallelogram with an area of square units has a height shown. Find the length of the base of the Parallelogram ?
Maths-General
