## anonymous 3 years ago How do I find the inverse of this function? f(x)=e^(x-1)-4

1. anonymous

Right now I have $x+4=e ^{y-1}$

2. 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.

3. hartnn

4. hartnn

ln ---> natural logarithmic function 'e' ----> exponential function

5. anonymous

I got $y=\ln(x+4)+1$

6. hartnn

and you are correct :)

7. anonymous

Thanks again!

8. hartnn

welcome ^_^