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Math Help - The inverse of function

  1. #1
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    The inverse of function

    Hi Guys ,,
    What the inverse of function means ? Like if i have the following function : 2-6x , What is it's inverse ?

    Thank you
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  2. #2
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    Quote Originally Posted by metallica007 View Post
    Hi Guys ,,
    What the inverse of function means ? Like if i have the following function : 2-6x , What is it's inverse ?

    Thank you
    if a function has a rule f(x) = y , then its inverse is f(y) = x

    so, if y = 2-6x , then its inverse is x = \frac{2-y}{6}

    see here for more detailed information ...

    Inverse Functions: Definition / Drawing Inverses
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  3. #3
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    Smile

    so the inverse of f(x)=2-6x
    put f(x)=y.
    y=2-6x.
    flip y and x
    x=2-6y.
    solve for y.
    y=\frac{2-x}{6}
    change y by f^{-1}(x)
    f^{-1}(x)=\frac{2-x}{6} and that's your inverse.
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  4. #4
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    Smile

    look at the graph of both the function and it's inverse.
    (the inverse is the blue line)
    (enjoy the symmetry)
    Attached Thumbnails Attached Thumbnails The inverse of function-inverse.png  
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  5. #5
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    Thanks guys :-)
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