## liliy Group Title find the domain and the inverse of the function: f(x)=ln(x+2)-3 one year ago one year ago

1. satellite73 Group Title

domain: you can only take the log of a positive number, so start with $$x+2>0$$ and solve for $$x) in one step 2. satellite73 Group Title for the inverse, set $x=\ln(y+2)-3$ and solve for \(y$$

3. satellite73 Group Title

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

4. jaersyn Group Title

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

5. liliy Group Title

so is the domain z+, or R ?

6. satellite73 Group Title

neither

7. liliy Group Title

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