What is the domain of the function f(x) = 1 ⁄ x 2 – 9 ?

Question

Accepted Answer

The domain of a function is the set of all possible inputs to the function. All real numbers can be substituted for x in the function f(x) = 1 ⁄ x 2 – 9 excluding those that make the fraction undefined. Set the denominator equal to 0 to find the x values that make the fraction undefined. These values are not in the domain of the function: x 2 – 9 = 0, (x – 3)(x + 3) = 0, x – 3 = 0, x = 3; x + 3 = 0, x = –3. The domain of f(x) is all real numbers excluding 3 and –3.

Want a deeper, personalized explanation?

Related questions