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domain of function

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What is the domain of the function $$g(x) = \frac{3x+1}{x+8}$$?

Mar 10, 2021

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The domain of a function is the set of inputs in which the output is defined.

Here, there is only one input that will cause the output to be undefined. The undefined behavior occurs at x = -8. I know this because the denominator of this function will yield 0, which will lead to an undefined answer.

The domain may be represented in many different ways, but I chose interval notation for this particular occasion.

D: $$(-\infty,-8) \cup (-8, \infty)$$

Mar 10, 2021