To find : the domain of the function so that the function is one-to-one and has an inverse function. And find the inverse function.

Answer to Problem 83E
The domain of function
Explanation of Solution
Given information :
The function
Calculation : the domain of function is all real numbers. To having the function one-to-one and inverse, for every value of x , there should be unique value of y.
So the domain of function should be
To find the inverse function substitute
Thus, the inverse function is
The domain of the function f is all real values because function is defined for all real values.
The range of the function f is
The domain of function
Thus, the domain of the function
For range of the function
Thus, the range of the function
Chapter 1 Solutions
EP PRECALC.GRAPHING APPR.-WEBASSIGN-1YR
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