Question

How do you find the domain and range of `log(x-9)`?

Answer 1

Domain: `x> 9 or (9,oo)`
The range of `y` is all of `RR or (oo, oo)`

Explanation:

`y= log(x-9)`. Domain: `x-9>0 or x> 9 or (9,oo)`

Range : As `x` approaches closer and closer to 9 from right, `y` gets more and more negative. So Range is all real numbers i.e `(oo, oo)` graph{log(x-9) [-40, 40, -20, 20]} [Ans]