Question

What is the Domain of this?
​

Answer 1

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)`

Answer 2

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

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.