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Question 1 . Consider function f ( n ) = n 2 + 4 n - 7 and g ( n ) = n 2

Question $1 .$ Consider function $f (n) = n^{2} + 4 n - 7$ and $g (n) = n^{2} .$ Using the above definitions, show that

$($ a $) f (n) i n O (g (n)) .$

$($ b $) f (n) i n (g (n)) .$

$($ c $)$ Conclude that $f (n) = (g (n)) .$

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Question 1 . Consider function f ( n ) = n 2 + 4 n - 7 and g ( n ) = n 2

Question 1. Consider function f(n)=n2+4n-7 and g(n)=n2. Using the above definitions, show that (a)f(n)inO(g(n)). (b)f(n)in(g(n)). (c) Conclude that f(n)=(g(n)).

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Question $1 .$ Consider function $f (n) = n^{2} + 4 n - 7$ and $g (n) = n^{2} .$ Using the above definitions, show that

$($ a $) f (n) i n O (g (n)) .$

$($ b $) f (n) i n (g (n)) .$

$($ c $)$ Conclude that $f (n) = (g (n)) .$