$$\text { What is the domain of the function } f ( x ) = 4 + \ln ( x - 6 ) ?$$
A) $( 1 , \infty )$
B) $( 6 , \infty )$
C) $( 0 , \infty )$
D) $( 0,6 )$
E) $( 1,6 )$

Question

$$\text { What is the domain of the function } f ( x ) = 4 + \ln ( x - 6 ) ?$$ 
A) $( 1 , \infty )$
B) $( 6 , \infty )$
C) $( 0 , \infty )$
D) $( 0,6 )$
E) $( 1,6 )$

Quizplus · Accepted Answer

The domain of the natural logarithmic function $\ln(x)$ is $(0,\infty)$. Therefore, $x-6$ must be positive, which means that $x>6$. Hence the domain of the function $f(x)=4+\ln(x-6)$ is $(6,\infty)$.

What is the domain of the function f(x)=4+ln⁡(x−6)?\text { What is the domain of the function } f ( x ) = 4 + \ln ( x - 6 ) ? What is the domain of the function f(x)=4+ln(x−6)?

$\text { What is the domain of the function } f ( x ) = 4 + \ln ( x - 6 ) ?$