Concept explainers
Prove that squaring function
Answer to Problem 24WE
Domain =
Range =
Explanation of Solution
Calculation:
The function
A function has a inverse if and only if any horizontal line intersects the graph of the function atmost at one point.
Since
Hence
Consider the function
Domain =
Range =
Since the graph of the function is :
Clearly , it passes the horizontal line test . So, inverse of the function exists.
We find the inverse :
Interchange x and y values and solve for y :
But the domain and range of the inverse are :
Domain =
Range =
Since the domain and range of the inverse functions are interchanged.
The inverse
Domain of
Chapter 10 Solutions
Algebra and Trigonometry: Structure and Method, Book 2
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