Find the domain of the function.
-$$f ( x ) = \log _ { 9 } ( x + 8 ) ^ { 2 }$$
A) $( - \infty , 0 )$ or $( 0 , \infty )$
B) $( - 8 , \infty )$
C) $( - \infty , - 8 )$ or $( - 8 , \infty )$
D) $( 8 , \infty )$

Question

Quizplus · Accepted Answer

The expression inside the logarithm, $(x + 8)^2$, must be greater than zero. This is true for all $x$ except $x = -8$, where it equals zero. Thus, the domain is $( - \infty , - 8 )$ or $( - 8 , \infty )$.

Find the Domain of the Function f(x)=log⁡9(x+8)2f ( x ) = \log _ { 9 } ( x + 8 ) ^ { 2 }f(x)=log9​(x+8)2

Find the Domain of the Function $f ( x ) = \log _ { 9 } ( x + 8 ) ^ { 2 }$