Write the domain in interval notation.
-$$f ( x ) = 14 - \frac { 1 } { \sqrt { 15 - x } }$$
A) $( - 15 , \infty )$
B) $[ - 15 , \infty )$
C) $( - \infty , 15 ]$
D) $( - \infty , 15 )$

Question

Quizplus · Accepted Answer

The domain of the function is determined by the condition that the expression under the square root, $15 - x$, must be greater than 0 to avoid taking the square root of a negative number and the denominator cannot be zero. Thus, $15 - x > 0$, which simplifies to $x < 15$. This means the function is defined for all $x$ less than 15, but not including 15 itself, hence the interval notation is $( - \infty , 15 )$.

Write the Domain in Interval Notation f(x)=14−115−xf ( x ) = 14 - \frac { 1 } { \sqrt { 15 - x } }f(x)=14−15−x​1​

Write the Domain in Interval Notation $f ( x ) = 14 - \frac { 1 } { \sqrt { 15 - x } }$