Find the domain of the function:
F(x)= 2-x^2
To find the domain of a function, we need to determine which values of x the function is defined for.
In the given function, F(x) = 2 - x^2, there are no restrictions on the type of mathematical operations involved, such as division by zero or taking the square root of a negative number. Therefore, the only limitation on the domain will be for values of x that make the function undefined.
In this case, the function involves raising x to the power of 2, which means that the function is defined for all real numbers. There are no restrictions on the values of x that would make the function undefined.
Hence, the domain of the function F(x) = 2 - x^2 is all real numbers, or (-∞, ∞).