Need solutions for the following questions with step by step work shown
Let $f(x) = x^2 +x + 15$ and $g(x) = x^2 log(x) + 10$. Prove that f(x) is O(g(x)) by:
1. Providing witnesses C and k and
2. Proving that the inequality holds for the value you choose in 1.
Let $f(x) = x^5 + 10$ and $g(x) = x^5 + x + 10$
1. Prove that $f is O(g)$
2. Prove that $f is Ω(g)$
3. Given parts a and b, what other relationship can you show about f and g?
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