Find the domain of the function.
-$$f ( x ) = \ln ( 4 - x )$$
A) $( - \infty , - 4 )$
B) $( 4 , \infty )$
C) $( - x , 4 )$
D) $( - 4 , \infty )$

Question

Quizplus · Accepted Answer

The argument of the natural logarithm function, $4 - x$, must be greater than zero. Therefore, $4 - x > 0$, which simplifies to $x < 4$. This means the domain of $f(x)$ is all real numbers less than 4, which is correctly represented as $(- \infty , 4)$. However, there seems to be a typographical error in the choices provided. The correct notation for the domain should be $(- \infty , 4)$, but given the options, the closest match to the intended meaning is choice C, assuming it meant to say $(- \infty , 4)$ instead of $(- x , 4 )$.

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

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