Question

Find all values of X for the domain of the function F(X) = -2x^3 + 3X^2 - 6:

a) (-[infinity], [infinity])
b) All real numbers
c) X in real numbers such that F(X) is defined
d) X such that F(X) is not equal to 0

Answer 1

Option B). The domain of the function F(X) = -2x^3 + 3X^2 - 6 is all real numbers.

Step-by-step explanation:

The values that make the function well-defined must be taken into account when determining the values of X for the domain of the function F(X) = -2x^3 + 3X^2 - 6. This means that we must determine the values of X that do not lead to any division by zero or other undefinable operations.

There are no particular limitations on the values of X in this instance that would render the function undefinable. Therefore, the domain of the function is all real numbers, which means option b) All real numbers is the correct answer.