Write the domain in interval notation.
-$$f ( x ) = \log _ { 5 } ( 3 - x ) ^ { 2 }$$
A) $( - 3,3 )$
B) $( - \infty , 3 ) \cup ( 3 , \infty )$
C) $( - \infty , \infty )$
D) $( - \infty , - 3 ) \cup ( 3 , \infty )$

Question

Quizplus · Accepted Answer

The domain of a logarithmic function is the set of all positive real numbers. In this case, the argument of the logarithm is (3 - x)^2, which must be positive. Therefore, the domain of the function is all real numbers except x = 3. In interval notation, this is written as (-∞, 3) ∪ (3, ∞).

Write the Domain in Interval Notation f(x)=log⁡5(3−x)2f ( x ) = \log _ { 5 } ( 3 - x ) ^ { 2 }f(x)=log5​(3−x)2

Write the Domain in Interval Notation $f ( x ) = \log _ { 5 } ( 3 - x ) ^ { 2 }$