What is the domain of x=-9y^2 A. -infty lt xleqslant -3 B. -infty lt xleqslant 0 C. -infty lt xlt infty D. 0leqslant xlt infty

To find the domain of the function $x=-^{2}$, we need to determine the possible values of $x$ for which the function is defined.<br /><br />The function $x=-9y^{2}$ is defined for all real values of $y$. This is because the square of any real number is always non-negative, and multiplying it by -9 will result in a negative value. Therefore, there are no restrictions on the values of $y$.<br /><br />Hence, the domain of the function $x=-9y^{2}$ is all real numbers, which can be represented as $-\infty \lt x \lt \infty$.<br /><br />Therefore, the correct answer is C. $-\infty \lt x\lt \infty $.