Question

Given function: r(x) = -14/x² Write the domain in interval notation.

a) (-[infinity], -9) ∪ (-9, 0) ∪ (0, 9) ∪ (9, [infinity])
b) (-[infinity], -9) ∪ (-9, 0) ∪ (0, [infinity])
c) (-[infinity], 9) ∪ (9, [infinity])
d) (-[infinity], 0) ∪ (0, [infinity])

Answer 1

The domain of the function r(x) = -14/x² is option B) (-∞, -9) ∪ (-9, 0) ∪ (0, ∞)

Step-by-step explanation:

The domain of a function refers to the set of all possible values that the independent variable can take. In this case, the given function is r(x) = -14/x². The domain of this function is all real numbers except for x = 0, because dividing by zero is undefined.

To find the domain, we need to solve the equation x² = 0. This equation has one solution, x = 0.

Therefore, the correct choice for the domain in interval notation is: b) (-∞, -9) ∪ (-9, 0) ∪ (0, ∞)

This notation indicates that the domain includes all real numbers less than -9, all real numbers between -9 and 0 (excluding 0), and all real numbers greater than 0.

Therefore the correct answer is option B) (-∞, -9) ∪ (-9, 0) ∪ (0, ∞)