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Math Help - Operations of square root functions

  1. #1
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    Operations of square root functions

    I can't remember square root rules and I'm looking for

    f+g, f-g, fxg, f/g

    f(x)=sqrt(1+x)
    g(x)=sqrt(1-x)
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  2. #2
    Super Member Matt Westwood's Avatar
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    Quote Originally Posted by sharpiemarker View Post
    I can't remember square root rules and I'm looking for

    f+g, f-g, fxg, f/g

    f(x)=sqrt(1+x)
    g(x)=sqrt(1-x)
    There are no simple rules for adding / subtracting square roots, but you do have:

    \sqrt a \sqrt b = \sqrt {ab}, \frac {\sqrt a} {\sqrt b} = \sqrt {\frac a b}. That may help a little.
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  3. #3
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    Quote Originally Posted by Matt Westwood View Post
    There are no simple rules for adding / subtracting square roots, but you do have:

    \sqrt a \sqrt b = \sqrt {ab}, \frac {\sqrt a} {\sqrt b} = \sqrt {\frac a b}. That may help a little.
    That does help. Any suggestions for the addition and subtraction of the functions? Thanks!
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  4. #4
    Super Member Matt Westwood's Avatar
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    Quote Originally Posted by sharpiemarker View Post
    That does help. Any suggestions for the addition and subtraction of the functions? Thanks!
    (shrug) f(x) + g(x) = \sqrt{1+x} + \sqrt{1-x} and similar for the subtract one is probably as best as you can do.

    Unless there's something embarrassingly basic that I've completely forgotten.
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  5. #5
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    Quote Originally Posted by Matt Westwood View Post
    (shrug) f(x) + g(x) = \sqrt{1+x} + \sqrt{1-x} and similar for the subtract one is probably as best as you can do.

    Unless there's something embarrassingly basic that I've completely forgotten.
    Hehe, I see we're on the same page then. It seems like I should simplify that but I'm not seeing how. Thanks for the suggestions.
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  6. #6
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    Quote Originally Posted by sharpiemarker View Post
    Hehe, I see we're on the same page then. It seems like I should simplify that but I'm not seeing how. Thanks for the suggestions.
    It does not simplify any further (Matt was joking - he's forgotten nothing).
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