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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;
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