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

Overview

Given that:

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Given:

f(x)=x2−1f(x) = x^2 - 1

Replace xx with (x−2)(x - 2):

f(x−2)=(x−2)2−1=(x2−4x+4)−1=x2−4x+3\begin{aligned} f(x - 2) &= (x - 2)^2 - 1 \\ &= (x^2 - 4x + 4) - 1 \\ &= x^2 - 4x + 3 \end{aligned} f(x−2)=x2−4x+3\boxed{f(x - 2) = x^2 - 4x + 3}

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