Question

what is the Domain of this?
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Answer 1

Answer: The domain is 3/7, -6, and 4.

Step-by-step explanation:

In the case of rational expressions, we can input any value except for those that make the denominator equal to 0 (since division by 0 is undefined). In other words, the domain of a rational expression includes all real numbers except for those that make its denominator zero.

Answer 2

As the other answer mentioned, x = -6 and x = 4 are not in the domain, since they both make the denominator equal to zero, and thus the overall expression undefined. But x = 3/7 is allowed, since f (3/7) = 0.

Every other real number is also acceptable.

In interval notation, the domain is then

$(-\infty,-6) \cup (-6,4) \cup (4, \infty)$