Question

Find the domain of f(x)=(x/7)/(x^2)-3x-18 and write it in interval notation

Answer 1

So, the interval notation for the domain of the function is (-∞, -6) U (-6, 0) U (0, ∞).

Explanation:

The domain of f(x) = (x/7)/(x^(2)) - 3x - 18 is the set of real numbers with the exceptions of -6 and 0, which are points of discontinuity of the function.

Answer 2

`(-\infty,-3)\cup(-3,6)\cup(6,\infty)`

Explanation:

`\displaystyle f(x)=((x)/(7))/(x^2-3x-18)\\\\f(x)=((x)/(7))/((x-6)(x+3))\\\\x\\eq6,-3\\\\(-\infty,-3)\cup(-3,6)\cup(6,\infty)`