Find the domain of the function.
-$$f ( x ) = \log _ { 1 / 2 } ( x + 4 )$$
A) $( - \infty , - 4 )$
B) $( - 4 , \infty )$
C) $( 4 , \infty )$
D) $( - \infty , 4 )$

Question

Quizplus · Accepted Answer

The argument of a logarithmic function must be greater than zero. Therefore, for $f(x) = \log_{1/2}(x + 4)$, the condition is $x + 4 > 0$, which simplifies to $x > -4$. This corresponds to the interval $(-4, \infty)$.

Find the Domain of the Function f(x)=log⁡1/2(x+4)f ( x ) = \log _ { 1 / 2 } ( x + 4 )f(x)=log1/2​(x+4)

Find the Domain of the Function $f ( x ) = \log _ { 1 / 2 } ( x + 4 )$