Question

find the domain and the inverse of the function:
f(x)=ln(x+2)-3

Answer 1

domain: you can only take the log of a positive number, so start with \(x+2>0\) and solve for \(x) in one step

Answer 2

for the inverse, set
\[x=\ln(y+2)-3\] and solve for \(y\)

Answer 3

this takes three steps
\[x=\ln(y+2)-3\]
\[x+3=\ln(y+2)\]
\[e^{x+3}=y+2\]
\[y=e^{x+3}-2\]

Answer 4

Hey satellite, just out of curiosity, what do you do for a living? Sorry to barge in here, but you don't accept messages from non-fans apparently

Answer 5

so is the domain z+, or R ?

Answer 6

neither

Answer 7

but using an ln graph, anything less than ln(1) is undefined....