Find the domain of the logarithmic function.
-$$f ( x ) = \ln ( 6 - x )$$
A) $( - \infty , 6 )$
B) $( - \infty , 0 )$
C) $( - 6 , \infty )$
D) $( - \infty , 6 )$ or $( 6 , \infty )$

Question

Quizplus · Accepted Answer

The argument of the logarithm, $6 - x$, must be greater than zero. Solving $6 - x > 0$ gives $x < 6$, which corresponds to the interval $( - \infty , 6 )$.

Find the Domain of the Logarithmic Function f(x)=ln⁡(6−x)f ( x ) = \ln ( 6 - x )f(x)=ln(6−x)

Find the Domain of the Logarithmic Function $f ( x ) = \ln ( 6 - x )$