Find the domain of the function.
-$$f ( x ) = 2 - \ln ( 3 x )$$
A) $( 3 , \infty )$
B) $( - 2,3 )$
C) $( 0 , \infty )$
D) $( - \infty , 2 ) \cup ( 3 , \infty )$

Question

Quizplus · Accepted Answer

The domain of the function $f(x) = 2 - \ln(3x)$ is determined by the requirement that the argument of the logarithm, $3x$, must be greater than zero. This leads to the inequality $3x > 0$, which simplifies to $x > 0$. Therefore, the domain is all positive real numbers, or $(0, \infty)$.

Find the Domain of the Function f(x)=2−ln⁡(3x)f ( x ) = 2 - \ln ( 3 x )f(x)=2−ln(3x)

Find the Domain of the Function $f ( x ) = 2 - \ln ( 3 x )$