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alienshe

  • one year ago

How do I find the inverse of this function? f(x)=e^(x-1)-4

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  1. alienshe
    • one year ago
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    Right now I have \[x+4=e ^{y-1}\]

  2. hartnn
    • one year ago
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    good, now take the natural logarithm on both sides, and use the fact that \(\large \ln e^{a}=a\) because ln and 'e' are inverse functions of each other.

  3. hartnn
    • one year ago
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    that fact will help you simplify the right side

  4. hartnn
    • one year ago
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    ln ---> natural logarithmic function 'e' ----> exponential function

  5. alienshe
    • one year ago
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    I got \[y=\ln(x+4)+1\]

  6. hartnn
    • one year ago
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    and you are correct :)

  7. alienshe
    • one year ago
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    Thanks again!

  8. hartnn
    • one year ago
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    welcome ^_^

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