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# domain

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What is the domain of the function $$\ell(y) = \frac{1}{(y-2)+(y+8)}~?$$ Express your answer in interval notation.

Feb 21, 2021

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$$\ell(y) = \frac{1}{2y+6}$$

The denominator must not equal 0, so the domain is everything that doesn't equal -3.

$$\boxed{x \in (-\infty, -3) \cup (-3, \infty)}$$

Feb 21, 2021