Determine the domain of the real-valued function f(x)= ln (4-x) .
A) $(0, \infty)$
B) $(4, \infty)$
C) $(-\infty, 4)$
D) $[4, \infty)$
E) $(-\infty,-4]$

Question

Determine the domain of the real-valued function  f(x)= ln (4-x) .
A) $(0, \infty)$
B) $(4, \infty)$
C) $(-\infty, 4)$
D) $[4, \infty)$
E) $(-\infty,-4]$

Quizplus · Accepted Answer

The natural logarithm function, ln(x), is defined for all positive real numbers. Therefore, for ln(4-x) to be defined, the argument (4-x) must be greater than 0. Solving the inequality 4-x > 0 gives x < 4, which corresponds to the interval $(-\infty, 4)$.

Determine the Domain of the Real-Valued Function F(x)= Ln (0,∞)(0, \infty)(0,∞)

Determine the Domain of the Real-Valued Function F(x)= Ln $(0, \infty)$