Find the inverse of the following one to one function and state the domain and function and its inverse f(x) = 2x-3/x+4

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.CR: Chapter Review
Problem 89E
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Find the inverse of the following one to one function and state the domain and function and its inverse

f(x) = 2x-3/x+4

Expert Solution
Step 1

To find domain set of f(x), exclude all the values of x at which denominator is zero, since denominator is zero at x=-4 

so, domain set is the set of all real numbers except -4

Algebra homework question answer, Step 1, Image 1
Step 2

Now, we calculate inverse of f as shown on board.

Algebra homework question answer, Step 2, Image 1
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