5. For each of the following functions from R+ → R, find the least integer n such that f(x) is O(x) if possible. If not, explain why the function is not O(x₂) for any n. (a) f(x)=x√2 (b) f(x) = 3x² + x³log (3x²) x5+x4 (c) f(x) = = x⁹+x6log (9x) (d) f(x) = logxlogx

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A: We can find the domain of each function and then find the answer.

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A:

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A: Solution :-

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A: The domain of a function is defined as the set of all input values for which the function is…

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A: to find an inverse function, interchange variables, and solve for y

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A:

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A: Functions

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A:

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A: Given: f(x)=5x+1if x&lt;12xif 2≤x≤62-2xif x&gt;6

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A:

Q: f(x)=x² - 2x - 4.

A:

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A: Domain of the function

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A:

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A:

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A:

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A:

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A:

Q: 5.) Evaluate f(-3) for f(x) = x³ +3x + 17

A: Given  f(x) =x3+3x+17

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A: Topic = Function

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A: Concavity.