Question

Graph f(x)=log base2(x-3)+1. Find it's domain, it's range and the equation of its asymptote. I HAVE NO IDEA HOW TO DO THIS!! HELP! lol

Answer 1

do you know what y=log(x) looks like?

Answer 2

This is log of x
you can see it's vertical asymptote is x=0 since the curve gets super close to x=0 without touching x=0.
now notice the inside of the log(x) thing is 0 when x=0
Set basically to find the asymptote you find for what value of x will the inside of the log be 0.

now as for domain.
The domain for y=log(x) is x>0
so you just take everything inside the log and find for what values of it is greater than 0.
Let's work on these two then we can do the range.