Question

What is the domain and range of `y=ln(2x-12)`?

Answer 1

`D_y= {x inRR:x>6}, R_y=RR`

Explanation:

On the real plane, we know that `lnu` is only defined for `u>0`. So letting `u=2x-12, ln(2x-12)` is only defined for `2x-12>0 rArrx>6`.

We also know that the range of any `lnu` is always the real numbers.

`thereforeD_y= {x inRR:x>6}, R_y=RR`