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posted by  jasmine77262 on 9/6/2008 2:12:20 AM  |  status: Closed  

True/ False

Course Textbook Chapter Problem
Calculus Calculus: Early Transcendentals (6th) by Stewart 1.6 N/A
Question Details:
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Jasmine

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Oracle
Karma Points: 6,532
posted by radne on 9/6/2008 2:21:35 AM  |  status: Live
Asker's Rating: Lifesaver   
jasmine77262's comment:
"thnksss"
Response Details:
1) False
Consider f(x) = x+2    and g(x) = √x.   f(g(x)) = √x  + 2    g(f(x)) = √(x+2).  These are not equal, hence fog is not the same as gof

2) False
Some functions need to be restricted to be one-to-one so f--1 can exists. 
For example tan-1(tan(3pi/4))   = -π/4  not 3π/4, because tan-1(x) has a range of -π/2 to π/2

3) True
this is the definition of a one-to-one function
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