Concept explainers
(a)
Sketch the domain of the function
Answer to Problem 1CRE
Solution:Domain of the function is
Explanation of Solution
Domain: The domain of the function is defined as the set of complete possible values which will make the function work and gives output as real values.
Given: A function as
Formula:
a. Domain of Square root function, is given as
b. The expression in the denominator can never be zero.
Calculation:
Given function is
Domain of the function:
To find the domain, set the expression the expression inside the square root greater than equal to zero and the expression in the denominator not equal to zero.
And
And
Thus, domain of the function is
Graph is as follows:
Conclusion: Domain of the function is
(b)
The value of and for the function
Answer to Problem 1CRE
Solution: The value of and
Explanation of Solution
Domain: The domain of the function is defined as the set of complete possible values which will make the function work and gives output as real values.
Given: A function as
Calculation:
Given function is
Conclusion: The value of and
(c)
A point such that for the function
Answer to Problem 1CRE
Solution: The point such that for the function Are and
Explanation of Solution
Domain: The domain of the function is defined as the set of complete possible values which will make the function work and gives output as real values.
Given: A function as
Calculation:
Given function is
Also,
Squaring both the sides, we get
Let ,
Then
Thus,
Points are and
Conclusion: The point such that for the function are and
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Chapter 15 Solutions
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