Determine the Values for Which a Rational Expression is Undefined
In the following exercises, determine the values for which the rational expression is undefined
4x^2y/3y....y=0
Whats the best way for me to grasp this concept.
I have reread the examples from my book but Im not understand what they are doing exactly.
that's right.
4x^2y/3y = 4x^2/3
for all values of x and y except y=0
When y=0, you have 0/0 which is undefined.
oh I know I cancel out the y's
I will have 4x^2/3
okay i have a similar question
Add and Subtract Rational Expressions whose Denominators are Opposites
(2b^2 + 30b − 13)/(b^2 − 49) − (2b^2 − 5b − 8)/(49 − b^2)
To determine the values for which a rational expression is undefined, you need to identify any values that would make the denominator equal to zero. In this case, the denominator of the rational expression is "3y."
For a rational expression to be undefined, the denominator cannot be equal to zero because division by zero is undefined in mathematics.
To find the values of "y" that make the denominator zero, set the denominator equal to zero and solve the equation:
3y = 0
To solve this equation, divide both sides by 3:
y = 0
So, the value of "y" that would make the denominator zero is 0.
Therefore, the rational expression is undefined when y = 0.
As for grasping this concept better, here are a few steps you can follow:
1. Understand the definition of a rational expression: A rational expression is a fraction where the numerator and denominator are polynomials.
2. Review the concept of dividing by zero: Division by zero is undefined because it violates the fundamental principles of arithmetic.
3. Identify the denominator of the rational expression: Determine the expression that appears in the denominator.
4. Set the denominator equal to zero: To find the values that make the rational expression undefined, set the denominator equal to zero.
5. Solve for the variable: Solve the equation obtained in the previous step to find the specific values of the variable that make the denominator zero.
By following these steps, you should be able to determine the values for which a rational expression is undefined. Additionally, practicing solving similar problems and asking for help from a teacher or tutor can further enhance your understanding of the concept.