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(Solved): Suppose log_(10)(f(n))=\Omega (g(n)) where both f(n) and g(n) are increasing functions in n. Whic ...



Suppose

log_(10)(f(n))=\Omega (g(n))

where both

f(n)

and

g(n)

are increasing functions in

n

. Which of the following conclusions can be drawn? A. It must be the case that

f(n)=O(10^(g(n)))

B. It must be the case that

g(n)=O(f(n))

C. It could be the case that

g(n)=\Omega (log_(10)(f(n)))

D. It cannot be the case that

\sqrt(f(n))=O(g(n))

(The exact right option(s) must be chosen for this problem to count as solved; partial points.) Conclusion

A

is valid. Conclusion

B

is valid. Conclusion

C

is valid. Conclusion

D

is valid. None of the above. Can you explain the answer?



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