Given:
The function is,
![f(x)=(-12)/(x^2+6)](https://img.qammunity.org/2023/formulas/mathematics/college/hfdvrvcqy2lw65qb8poy60xxq6ll5dy6s7.png)
Step-by-step explanation:
Plot the function to determine the range of function.
The value of function is always more than or equal to -2 and less than than 0. So range of function is,
![\lbrack-2,0)](https://img.qammunity.org/2023/formulas/mathematics/college/4ejijapqqjcox2t8ltxilbx2pxkx1gdwv7.png)
Answer:
All real numbers greater than or equal to-2 and less than 0.
Option C is correct.