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 (x2+3)(x^2 + 3):

f(x2+3)=2(x2+3)+3=2x2+6+3=2x2+9\begin{aligned} f(x^2 + 3) &= \sqrt{2(x^2 + 3) + 3} \\ &= \sqrt{2x^2 + 6 + 3} \\ &= \sqrt{2x^2 + 9} \end{aligned} f(x2+3)=2x2+9\boxed{f(x^2 + 3) = \sqrt{2x^2 + 9}}

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