Find the Domain nvcgffhklj-kjbkbkj-lh^7
Problem
Solution
Identify the restriction for the natural logarithm function, which requires the argument to be strictly greater than zero.
Factor the quadratic expression using the difference of squares pattern.
Determine the critical points by setting each factor to zero, which gives
x=3 andx=−3 Test the intervals created by the critical points:
(−∞,−3) (−3,3) and(3,∞)
For
x=−4 (−4)2−9=7>0 (True)For
x=0 (0)2−9=−9>0 (False)For
x=4 (4)2−9=7>0 (True)
Express the domain in interval notation based on the intervals where the inequality holds true.
Final Answer
Want more problems? Check here!