The function [tex]g(x)=\log x[/tex] has domain [tex](0,\infty)[/tex] and range [tex](-\infty, \infty )[/tex].
The function [tex]f(x)=\log(x+6)-4[/tex] is obtained from the function [tex]g(x)[/tex] by translating 6 units left and 4 units down.
So, the domain of [tex]f(x)[/tex] is [tex](-6,\infty)[/tex] and range is [tex](-\infty, \infty )[/tex].
