Write the domain in interval notation.
-$$f ( x ) = \frac { 4 } { \sqrt { 3 - x } }$$
A) $( - \infty , 3 )$
B) $( 3 , \infty )$
C) $( - \infty , 3 ]$
D) $[ 3 , \infty )$

Question

Quizplus · Accepted Answer

The domain of $f(x) = \frac{4}{\sqrt{3-x}}$ consists of all real numbers $x$ for which the expression under the square root, $3-x$, is positive. This is because the square root of a negative number is not defined in the set of real numbers. Therefore, $3-x > 0$, which simplifies to $x < 3$. This means the function is defined for all $x$ less than 3, which is represented by the interval $(- \infty , 3)$.

Write the Domain in Interval Notation f(x)=43−xf ( x ) = \frac { 4 } { \sqrt { 3 - x } }f(x)=3−x​4​

Write the Domain in Interval Notation $f ( x ) = \frac { 4 } { \sqrt { 3 - x } }$