Question

G(x) = x2 + 8x +12 over x² – 2x-8

Answer 1

Answer:

The domain of the function in interval notation is -∞ < x < -2, -2 < x < 4, x > 4

Step-by-step explanation:

The given function is presented as follows;

$G(x) = \dfrac{x^2 + 8 \cdot x + 12}{x^2 - 2 \cdot x - 8}$

The function given in rational format will not be defined when the value of the denominator = 0

Therefore, for the function to be undefined, we have;

x² - 2·x - 8 = 0

(x - 4)·(x + 2) = 0

Which gives;

x = 4, or x = -2

Therefore, the function is undefined for x = 4 and x = -2

The domain of the function in interval notation = -∞ < x < -2, -2 < x < 4, x > 4