Question

How do you find the domain and range of `f(x)= log_5 (x-1) + 4`?

Answer 1

The domain is `D=(1;+oo)` range is `RR`

To calculate the domain you have to know that the logarythn is only defined for positive numbers, so you have to solve `x-1>0` and then you get `D=(1;+oo)`

In case of the range you don't need to calculate anything. The logarythm functions can have all real values, so the range is `RR`.