Write the domain in interval notation.
-$$f ( x ) = \log ( 2 - x )$$
A) $( - \infty , 2 ]$
B) $( - \infty , 2 )$
C) $( 0 , \infty )$
D) $[ 2 , \infty )$

Question

Quizplus · Accepted Answer

The domain of a logarithmic function is all the values of $x$ for which the argument of the logarithm is greater than zero. For $f(x) = \log(2 - x)$, the argument $2 - x$ must be greater than zero, which means $x < 2$. Therefore, the domain in interval notation is $(- \infty , 2)$.

Write the Domain in Interval Notation f(x)=log⁡(2−x)f ( x ) = \log ( 2 - x )f(x)=log(2−x)

Write the Domain in Interval Notation $f ( x ) = \log ( 2 - x )$