Question

What is the domain of the function f(x) = x-3/x^2-x-6?

Answer 1

x ≠ 2, x ≠ 3

Explanation:

Hello!

We want to find the values of x that makes this function NOT possible.

That means, we want to find the values of x that makes the denominator equal to 0.

Solve for x

• x² - x - 6 = 0
• x² - 3x + 2x - 6 = 0
• x(x - 3) + 2(x - 3) = 0
• (x + 2)(x - 3) = 0
• x = -2, x = 3

So x cannot be -2 or 3, as if we use those values, the denominator would be 0, and the function would be undefined.