Answer:
[tex]y\geq 0[/tex] or [tex][0, \infty)[/tex]
Step-by-step explanation:
By definition the function
[tex]y = log (x)[/tex] has a domain of [tex]x> 0[/tex].
Since the function is not defined for the values of x negative or equal to zero.
The range of this function is all the real numbers.
Since [tex]y <0[/tex] when [tex]0 <x <1[/tex] and [tex]y\geq0[/tex] when [tex]1\leq x<\infty.[/tex]
In this case we have the function [tex]y = log ^ 2 (x-6)[/tex]
Therefore since the log function is squared then its range is now [tex]y\geq 0[/tex]
