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Math Help - inverse funtions

  1. #1
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    inverse funtions

    Use the graph of f(x) and the tangent line shown below to answer the following.

    ok i cant get the graph to show up, but the points are (2.1,5.3) and (2,5)
    these points are one the tangent line, but (2,5) is also on the graph of f(x)
    i hope this helps enough thanks...


    (a) If k(x) = 1/ f(x), then
    k '(2) =

    (b) If g(x) = f -1(x), then
    g '(5) =
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  2. #2
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    Quote Originally Posted by mathlete View Post
    Use the graph of f(x) and the tangent line shown below to answer the following.

    ok i cant get the graph to show up, but the points are (2.1,5.3) and (2,5)
    these points are one the tangent line, but (2,5) is also on the graph of f(x)
    i hope this helps enough thanks...


    (a) If k(x) = 1/ f(x), then
    k '(2) =

    (b) If g(x) = f -1(x), then
    g '(5) =
    k(x)=f^{-1}(x)

    k'(x)=-f^{-2}(x)f'(x) \Rightarrow \frac{-f'(x)}{f(x)^2}
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