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Math Help - Another Log Graph question

  1. #1
    Junior Member
    Joined
    Jan 2008
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    69

    Another Log Graph question

    Hey guys,

    I have another question here...

    Explain why any equation of the form y = -x + b is its own inverse. Use both algebraic and graphics arguments.

    What do they mean by 'is its own inverse'? Its its own inverse without switching the y and x, and just the - sign?
    Last edited by Slipery; January 8th 2009 at 02:30 PM.
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  2. #2
    MHF Contributor
    Joined
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    Hi

    f(x) = -x + b is its own inverse because f(f(x)) = x
    f(f(x)) = -f(x)+b = -(-x+b)+b = x
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