Question

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

Answer 1

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

Answer 2

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.

Answer 3

that fact will help you simplify the right side

Answer 4

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

Answer 5

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

Answer 6

and you are correct :)

Answer 7

Thanks again!

Answer 8

welcome ^_^