anonymous
  • anonymous
How do I find the inverse of this function? f(x)=e^(x-1)-4
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
Right now I have \[x+4=e ^{y-1}\]
hartnn
  • hartnn
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.
hartnn
  • hartnn
that fact will help you simplify the right side

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hartnn
  • hartnn
ln ---> natural logarithmic function 'e' ----> exponential function
anonymous
  • anonymous
I got \[y=\ln(x+4)+1\]
hartnn
  • hartnn
and you are correct :)
anonymous
  • anonymous
Thanks again!
hartnn
  • hartnn
welcome ^_^

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