Question

What is the domain of f (x)X +2?x2-X-6O A. all real numbers except 2 and 3B. all real numbers except 2 and 3c. all real numbers except 3D. all real numbers

Answer 1

Problem

$f(x)=\frac{x+2}{x^2-x-6}$

Solution

For this case we want to find the domain for this case and we can analyze the denominator on this case because cannot be equal to 0, so we can set up this:

$x^2-x-6\ne0$

If we factorize we got:

(X-3)(x+2)=0

So then we have X=3 and X=-2

With these results we can conclude that the value of x cannot be 3 or -2 because then the function will be not defined

And the best solution is:

A. all real numbers except -2 and 3