Discrete math: Big O and Omega notation help

Herondaleheir

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Apr 1, 2019
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Determine whether or not the following is true.

a) 5n + 3n log n is Ω(n)

b) log((1/n) + n^2 ) is O(log n)

Can someone teach me step by step how to do these? I'm especially confused with b) because of the O(log n) and would appreciate some help or even a push in the right direction. I'm unconfident with logarithms in general which is why I'm struggling with these two questions in particular.
 
What definitions are you expected to use for big [MATH]O[/MATH] and big [MATH]\Omega[/MATH]?
 
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