- #1
late347
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Homework Statement
find domain
f(x)= ## \frac{\sqrt{x^2-x-6}}{x-5} ##
Homework Equations
The Attempt at a Solution
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Well, one sees that x ≠5 and then we further investigate the dividend portion where the under-the-root expression ≥ 0
We can graph the parabola, and find the zeroes. Then investigate the intervals and keep in mind also that x ≠ 5 for the original function.
I'm interested in how is this domain described in the interval notation for domain such as with the [ ] brackets
I confirmed by pen-and-paper results with wolfram alpha and the particular type of notation that wolfram alpha uses is as follows.
domain: { x ∈ ℝ : x>5 or 5>x≥3 or x≤-2}