Find the domain of the logarithmic function.
-$$f ( x ) = \log _ { 6 } ( x + 9 ) ^ { 2 }$$
A) $( - \infty , - 9 )$ or $( - 9 , \infty )$
B) $( - \infty , 0 )$ or $( 0 , \infty )$
C) $( - 9 , \infty )$
D) $( 9 , \infty )$ (9

Question

Quizplus · Accepted Answer

The expression inside the logarithm, $(x + 9)^2$, must be greater than 0. This is true for all $x$ except $x = -9$, where it equals 0. Thus, the domain is $( - \infty , - 9 )$ or $( - 9 , \infty )$.

Find the Domain of the Logarithmic Function f(x)=log⁡6(x+9)2f ( x ) = \log _ { 6 } ( x + 9 ) ^ { 2 }f(x)=log6​(x+9)2

Find the Domain of the Logarithmic Function $f ( x ) = \log _ { 6 } ( x + 9 ) ^ { 2 }$