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

Question

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

Quizplus · Accepted Answer

The argument of the logarithm function, $4x$, must be greater than 0. Therefore, $4x > 0$ implies $x > 0$, which corresponds to the interval $(0, \infty)$.

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

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