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

Question

Quizplus · Accepted Answer

The natural logarithm function, $\ln(x)$, is defined for all positive real numbers. Therefore, the argument of the logarithm, $-4 - x$, must be greater than 0. Solving the inequality $-4 - x > 0$ gives $x < -4$. This means the domain of $f(x) = \ln(-4 - x)$ is all real numbers less than -4, which is represented as $(-\infty, -4)$.

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 $f ( x ) = \ln ( - 4 - x )$