Concept explainers
For the rational expression
a. Evaluate the expression (if possible) for
b. Identify the restricted values.
a)
To calculate: The value of expression
Answer to Problem 1RE
Solution:
The value of expression
respectively.
Explanation of Solution
Given Information:
The provided expression is:
Calculation:
Consider the provided expression:
First, substitute
Now, substitute
Now, substitute
Now, substitute
Now, substitute
Hence, the value of expression
respectively.
b)
To calculate: The restricted value for the expression
Answer to Problem 1RE
Solution:
The restricted value for the expression
Explanation of Solution
Given Information:
The provided expression is:
Formula used:
Restricted Values of a Rational Expression:
Restricted values of a rational expression are all the values that make the expression undefined. For a rational expression
Rational value for the expression is
Calculation:
Consider the provided expression:
Equate the denominator to zero in order to compute the restricted values:
Solve the above equation for
Hence the restricted value for the expression
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