What is the largest possible domain of this question ? F(x)= (x^2-4)/(x^2-x-6)
The function will be defined for all values of x except those that make the denominator zero.
To find the values that make the denominator zero solve this: x² - x - 6 = 0.
This can be solved by factoring: (x - 3)(x + 2) = 0
Then, either x - 3 = 0 (so x = 3) or x + 2 = 0 (so x = -2).
The domain is all real numbers except 3 and -2.
The function will be defined for all values of x except those that make the denominator zero.
To find the values that make the denominator zero solve this: x² - x - 6 = 0.
This can be solved by factoring: (x - 3)(x + 2) = 0
Then, either x - 3 = 0 (so x = 3) or x + 2 = 0 (so x = -2).
The domain is all real numbers except 3 and -2.