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Math Help - Inverse of Linear Function

  1. #1
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    Inverse of Linear Function

    If f is a linear function such that f(x+2)-f(x)=6
    find the value of f^-1(x+2)-f^-1(x)
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  2. #2
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    Quote Originally Posted by vvc531 View Post
    If f is a linear function such that f(x+2)-f(x)=6
    find the value of f^-1(x+2)-f^-1(x)
    hi

    let the function be ax+b

    f(x+2)-f(x)=6

    ax+2a+b-ax-b=6

    2a=6 , a=3

    so f(x)=3x-b

    Now , find their inverses ,

    f^{-1}(x)=\frac{x-b}{3}

    f^{-1}(x+2)=\frac{x+2-b}{3}

    then do as the question asks .
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  3. #3
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    answer

    I have already done the steps shown. Can someone show me the answer so I can verity whether mine is correct?
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  4. #4
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    Quote Originally Posted by vvc531 View Post
    I have already done the steps shown. Can someone show me the answer so I can verity whether mine is correct?
    If you had said this in the first place then:

    1. You would have got the help you needed a lot faster.

    2. People wouldn't be wasting their time - unpaid - posting things you have already done.

    If you want verification of an answer, say what answer you got.
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