Question

what is the domain of $f(x) = \log(2 - x)$?
\bigcirc a. $\\ (2, \infty)$
\bigcirc b. $\\ (-infty, 2)$
\bigcirc c. $\\ (-infty, \infty)$
\bigcirc d. $\\ (-infty, 2) \cup (2, \infty)$

Explanation:

Step1: Set argument > 0

$2 - x > 0$

Step2: Solve for x

$x < 2$

Answer:

b. $(-\infty, 2)$