(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

If f_{1}= x and f_{2}= y show that f_{1}= O(f) and f_{2}= O(f) where f(x,y) = (x^{2}+ y^{2})^{1/2}

2. Relevant equations

I have the solution to this question, but I don't understand how it arrives there. I'm currently revising for a masters, but I've forgotten loads. :(

3. The attempt at a solution

Since x/√(x^{2}+ y^{2}) ≤ 1, y/√(x^{2}+ y^{2}) ≤ 1 it follows that f_{k}= O(k), k =1, 2

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# Big Oh help

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