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alienshe

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

  • 9 months ago
  • 9 months ago

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

    • 9 months ago
  2. hartnn
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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.

    • 9 months ago
  3. hartnn
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    that fact will help you simplify the right side

    • 9 months ago
  4. hartnn
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    ln ---> natural logarithmic function 'e' ----> exponential function

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

    • 9 months ago
  6. hartnn
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    and you are correct :)

    • 9 months ago
  7. alienshe
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    Thanks again!

    • 9 months ago
  8. hartnn
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    welcome ^_^

    • 9 months ago
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