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Thread: Inverse of Funciton

  1. #1
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    Inverse of Funciton

    I have a Function I need to inverse.
    Let me know if I have gone wrong somewhere.
    $\displaystyle f(x) = e^{(4x-2)} +4$



    $\displaystyle = ln(x) = \ln e^{(4x-2)}+4$

    $\displaystyle =ln(x) = 4x-2+4$

    $\displaystyle =\frac{(\ln(x)+2-4)}{4}$
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  2. #2
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    Quote Originally Posted by el123 View Post
    I have a Function I need to inverse.
    Let me know if I have gone wrong somewhere.
    $\displaystyle f(x) = e^{(4x-2)} +4$
    $\displaystyle y = e^{4x-2} +4$

    $\displaystyle x = e^{(4y-2)} +4$

    $\displaystyle x-4 = e^{4y-2}$

    $\displaystyle \ln(x-4) = 4y-2$

    $\displaystyle y = \frac{\ln(x-4) + 2}{4}$
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