Find the domain of the logarithmic function. Write your answer in interval notation.
-$$f ( x ) = \ln ( 4 - x )$$
A) $( - 4 , \infty )$
B) $( - \infty , 4 )$
C) $( - \infty , 0 )$
D) $( - \infty , 4 ) \cup ( 4 , \infty )$

Question

Quizplus · Accepted Answer

The argument of the logarithmic function, $4 - x$, must be greater than zero. Therefore, $4 - x > 0$, which simplifies to $x < 4$. This means the domain is all real numbers less than 4, which is represented by the interval notation $( - \infty , 4 )$.

Find the Domain of the Logarithmic Function f(x)=ln⁡(4−x)f ( x ) = \ln ( 4 - x )f(x)=ln(4−x)

Find the Domain of the Logarithmic Function $f ( x ) = \ln ( 4 - x )$