Let f(x) =ln(x-5)+2 , i need the y intercept from that and the range of the inverse function

Question

anonymous · Answer

$$x=\ln(y-5)+2$$ solve for $y$ in three steps

anonymous · Answer

subtract 2
rewrite in exponential form
add 5

xapproachesinfinity · Answer

the range of the inverse is the domain of f(x)?

anonymous · Answer

always

xapproachesinfinity · Answer

I know @satellite73 
i'm asking him is he sure about what he wrote

xapproachesinfinity · Answer

indirectly though lol

anonymous · Answer

wait what?

xapproachesinfinity · Answer

you are asked to find the range of the inverse the same as asking you to find the domain of f(x)

anonymous · Answer

oh sorry i did not see that was you @xapproachesinfinity

anonymous · Answer

@alexxiscouture  did you find $f^{-1}(x)$ yet?

anonymous · Answer

no, i don't know how to do this at all, break it down some more

mathmale · Answer

"Let f(x) =ln(x-5)+2 , i need the y intercept from that and the range of the inverse function."

Whoa.  Ask yourself:  What is the domain of the natural log function?

Then, ask yourself:  What is the domain of ln (x-5)?

If the graph of a function has a y-intercept, x must necessarily be zero.  What are the implications of that in this particular problem?

xapproachesinfinity · Answer

@satellite73  no worries

anonymous · Answer

nvm i got it

xapproachesinfinity · Answer

is the question written correctly?

anonymous · Answer

yes

xapproachesinfinity · Answer

ok

xapproachesinfinity · Answer

so what do you think about y intercep

mathmale · Answer

Playing devil's advocate:  What would happen if you were to set x = to zero, which is the usual way of determining the y-value of the y-intercept?