ANSWER
domain: x > 1; range: all real numbers
EXPLANATION
The given logarithmic function is
[tex]f(x) = log(x - 1) + 2[/tex]
The domain of this function refers to all values of y for which x is defined.
This function is defined argument is greater than 1.
[tex]x - 1 \: > \: 0[/tex]
[tex]x \: > \: 1[/tex]
The range refers to all values of y for which x is defined.
x is defined for all values of y.
The range is all real numbers.
