Find the domain of the function $f ( x ) = \frac { x } { - 2 \sin x - 3 }$.
A) $( - \infty , \infty )$
B) $\left[ - \frac { 3 } { 2 } , \infty \right)$
C) $[ - 3 , - 2 ]$
D) $[ 2,3 ]$

Question

Quizplus · Accepted Answer

The domain of the function is all real numbers except for the values of x that make the denominator equal to zero. Since -2sin(x) - 3 = 0 has no real solutions, the domain of the function is all real numbers.

Find the Domain of the Function f(x)=x−2sin⁡x−3f ( x ) = \frac { x } { - 2 \sin x - 3 }f(x)=−2sinx−3x​

Find the Domain of the Function $f ( x ) = \frac { x } { - 2 \sin x - 3 }$