Exercise
Determine the domain of the function:
y=\log_a (x+2)+\log_a (x-2)
Final Answer
Solution
Let’s find the domain of the function:
y=\log_a (x+2)+\log_a (x-2)
Because there is a log, we need the expressions inside the log to be greater than zero:
x+2>0\text{ and }x-2>0
We isolate the x in both inequalities and get:
x>-2\text{ and }x>2
Intersect both results (“and”) and get the final answer:
x>2
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