Determine the interval(s) where f(x) = In (9x - 81) is continuous.

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07-02-2021
Mathematics

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Determine the interval(s) where f(x) = In (9x - 81) is continuous.

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GeorgePPidn GeorgePPidn · Answer 1 · 2021-02-07T12:01:02-05:00

GeorgePPidn GeorgePPidn

07-02-2021

Answer: (9, ∞)

Step-by-step explanation:

You cant take the natural log of a negative number, and you cant take the natural log of 0. So, to find the intervals where the function is defined, set the inside of the natural to 0.

9x - 81 = 0

x = 9

The intervals where this function is continuous is from 9 --> infinity

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