If F(n) = O(g(n)) and G(n) = O(f(n)), What Else

question 41

Multiple Choice

If f(n) = O(g(n) ) and g(n) = O(f(n) ) , what else must be true?
I f(n) = Ω(g(n) )
II g(n) = Ω(f(n) )
III f(n) = θ(g(n) )

• A) I
• B) II
• C) I and II
• D) I, II, and III

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Definitions:

Breaking Even

Breaking even refers to a financial situation where total costs and total revenues are equal, resulting in no net loss or gain for the business.

Resource Prices

The costs associated with acquiring the inputs needed for production, such as raw materials, labor, and capital.

Industry Output

The total amount of goods or services produced by a particular industry over a specific time period.

Decline

A decrease in the quantity, quality, or level of something, often indicating a negative trend.