Question

The domain of $f(x)=\sqrt{2-{\log }_3(x-1)}$ is

• A. (2,12]
• B. $(-\infty ,10]$
• C. ( 3, 12]
• D. (1, 10]

Answer 1

Answer: (D)

$2-{\log }_3(x-1)\ge 0$ and $x-1>0$