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Math Help - Algebra in Pre-Calc

  1. #1
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    Algebra in Pre-Calc

    If f(x)=(x-B)/(x=A) and f(2)=0 and f(1) is undefined what is A and B?
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  2. #2
    Super Member Matt Westwood's Avatar
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    If f(2) is 0 then that means the top is 0 so 2 - B is 0. Which means B is ...?

    If f(1) is undefined, that means the bottom is 0 so whatever the bottom was supposed to be is 0, which means A is ...?
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  3. #3
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    Quote Originally Posted by Voluntarius Disco View Post
    If f(x)=(x-B)/(x=A) and f(2)=0 and f(1) is undefined what is A and B?
    You meant f(x)=\frac{x-B}{x-A}, right? I'm assuming the
    "=" was a mistake.

    We know that: f(2)=\frac{2-B}{2-A}=0 and that f(1)=\frac{1-B}{1-A} is undefined. If f(1) is undefined, that means that we will be dividing by zero, such that A=1.

    We can now substitute A for 1:

    f(2)=\frac{2-B}{2-1}= 0

    2-B=0

    B=2
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  4. #4
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    B=2, A=1? That's what I have as answers but I'm just checking.
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