Find the domain of:

f(x)=-sqrtx^2-16

The domain of a function is the set of all possible input values (x values) that the function can accept.

In this case, the function is f(x) = -√(x^2) - 16.

Inside the square root, x^2 must be greater than or equal to 0 in order to have a real-valued result. This means that the domain of this function is all real numbers where x^2 >= 0.

Since any real number squared is always greater than or equal to 0, the domain of this function is all real numbers.

Therefore, the domain of f(x) = -√(x^2) - 16 is (-∞, ∞).