Determine the domain of the real-valued function f(x)=ln (x-4) .
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 (x-4) .
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 x > 0. Since the argument of the ln function in f(x) = ln(x - 4) is (x - 4), we need x - 4 > 0, which simplifies to x > 4. Therefore, the domain is all real numbers greater than 4, which is expressed as the interval (4, ∞).

Determine the Domain of the Real-Valued Function F(x)=ln (X-4) (0,∞)(0, \infty)(0,∞)

Determine the Domain of the Real-Valued Function F(x)=ln (X-4) $(0, \infty)$