61. f(z) = z+4 x-3

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter11: Rational And Irrational Numbers
Section: Chapter Questions
Problem 23CLR
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The homeowork problem says this, and i need help for one and two.

  1. Determine whether it is one-to-one.
  2. If the function is one-to-one, find a formula for the inverse.

61.
f(z) = z+4
x-3
Transcribed Image Text:61. f(z) = z+4 x-3
Expert Solution
Step 1

Part 1:

To check whether the given function is one - to - one or not.

Consider the given function is f(x) = x + 4/x – 3.

Let x and y be any two variables.

It is known that, the function is one - to - one then f(x) = f(y)  implies x = y.

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

Part 2:

From part 1, the function is one - to – one.

Obtain the inverse of the function as follows.

Algebra homework question answer, Step 2, Image 1
Step 3

Solve for y.

Algebra homework question answer, Step 3, Image 1
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