Question

How do you find the domain of `f(x ) = - x ^ { 2} - 5x + 6`?

Answer 1

Find the `x` values where the function is defined.

Explanation:

Your domain is the possible `x` values where your function is defined, For example, the domain of `1/x` would be all real numbers except `0`.

As the function

`f(x) = -x^2 - 5x + 6`

does not have any point where it is undefined, the answer in set notation would be `(-oo, oo)`.

To find the domain of functions simply look where the answer does not exist and exclude it from your answer. To help visualize what is going on you can plug the answer into a graphing calculator and look for the vertical asymptotes or holes in the graph.