Theory of Intelligence
11TH•Mathematics•Functions And Graphs•Question 1

Overview

Given that:

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Given:

f(x)=2x+3f(x) = \sqrt{2x + 3}

Replace xx with (x−2)(x - 2):

f(x−2)=2(x−2)+3=2x−4+3=2x−1\begin{aligned} f(x - 2) &= \sqrt{2(x - 2) + 3} \\ &= \sqrt{2x - 4 + 3} \\ &= \sqrt{2x - 1} \end{aligned} f(x−2)=2x−1\boxed{f(x - 2) = \sqrt{2x - 1}}

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