Find the domain of f(x) = (√(x + 3))/(x² - 1).
Contributed by StemPy LabTry it on paper first. A hint, the key idea and the worked solution are here when you need them.
Find the domain of .
Need a reminder? The key ideaShow
A function gives each input exactly one output. The domain leaves out zero denominators and negative numbers under even roots. For the range, solve for , or complete the square.
The worked solution
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. The root. , so .
Step 2. The bottom. at , so remove those.
Answer: .
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