find the domain of the function algebraically 3. y= 3x-1/x2 -2x-3

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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find the domain of the function algebraically 

3. y= 3x-1/x2 -2x-3

PRECALCULUS
WORKSHEET 1 ON FUNCTIO
In problems 1-6, find the dom:
1. y = log(x-6)
3x-1
x²-2x-3
3. y = 2
Transcribed Image Text:PRECALCULUS WORKSHEET 1 ON FUNCTIO In problems 1-6, find the dom: 1. y = log(x-6) 3x-1 x²-2x-3 3. y = 2
Expert Solution
Step 1

Given function,

y=3x-1x2-2x-3We know that Thedomainofafunctionisthesetofinputorargumentvaluesforwhichthefunctionisrealanddefinedx2-2x-3=x2-3x+x-3x2-2x-3=x(x-3)+1(x-3)x2-2x-3=(x-3)(x+1)Thereforey=3x-1(x-3)(x+1)

Therefore function is un-define at at x=3 and x=-1.

Therefore Domain of the function is R-{3}-{-1}

That is,

(-,-1)(-1,3)(3,)

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