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    noideaz_333's Avatar
    noideaz_333 Posts: 3, Reputation: 1
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    #1

    Feb 16, 2008, 06:09 PM
    Subset values ?
    I'm new to this but I would appreciate any help on this question:

    Let f: D -> R, f(x)=x/(x+1) where D is the largest subset of R for which (f) is defined.

    a) Express f(x) in the form f(x) = A/(x+b) + B
    I cant's find the B in this equation

    b) State D... D is supposedly a restriction

    THanks, I really want to learn this one
    galactus's Avatar
    galactus Posts: 2,271, Reputation: 282
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    #2

    Feb 16, 2008, 06:15 PM
    For part a, long divide.

    Code:
        ------------------------
x+1|x
    For part b, what may be meant by D is the domain of said function.

    The domain will be all values except where you have division by 0.

    What value of x results in division by 0?
    noideaz_333's Avatar
    noideaz_333 Posts: 3, Reputation: 1
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    #3

    Feb 16, 2008, 06:21 PM
    SOrry I didn't understand that
    galactus's Avatar
    galactus Posts: 2,271, Reputation: 282
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    #4

    Feb 16, 2008, 06:34 PM
    Quote Originally Posted by noideaz_333
    SOrry I didn't understand that
    Didn't understand what? How to long divide? It's clear that in the denominator you have x+1. What value of x makes this equal 0? Therefore, you have division by 0 at that point and it is undefined and not in the domain.
    noideaz_333's Avatar
    noideaz_333 Posts: 3, Reputation: 1
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    #5

    Feb 16, 2008, 06:40 PM
    Are you referring to part a long dividing??
    galactus's Avatar
    galactus Posts: 2,271, Reputation: 282
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    #6

    Feb 17, 2008, 05:28 AM
    I am referring to both. Part a, can you long divide an algebraic expression?

    For part b, it's rather straight forward. Think domain. Do you know what a domain is?

    All values except for -1 are in the domain. -1 results in division by 0... a big no-no in the math world.
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