## alienshe Group Title How do I find the inverse of this function? f(x)=e^(x-1)-4 one year ago one year ago

1. alienshe Group Title

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

2. hartnn Group Title

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 Group Title

that fact will help you simplify the right side

4. hartnn Group Title

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

5. alienshe Group Title

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

6. hartnn Group Title

and you are correct :)

7. alienshe Group Title

Thanks again!

8. hartnn Group Title

welcome ^_^