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Home/ Questions/Q 8705993
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Editorial Team
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Editorial Team
Asked: June 13, 20262026-06-13T03:30:09+00:00 2026-06-13T03:30:09+00:00

Suppose there are multiple functions with certain big o notations, anything O(N), O(N^2), etc.

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Suppose there are multiple functions with certain big o notations, anything O(N), O(N^2), etc.
If you have a code fragment such as.

 f1(x);
 f2(x);
 f3(x);

Are all the big O notations added together or multiplied? Any explanation as to why either would be correct – addition or multiplication?

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  1. Editorial Team
    Editorial Team
    2026-06-13T03:30:11+00:00Added an answer on June 13, 2026 at 3:30 am

    Neither. You would take the maximum.

    Calling the larger piece of code g… If for example O(f2) >= O(f1) and O(f2) >= O(f3), then the complexity of g is <= 3 * O(f2) = O(f2).

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