class 12 maths relations and functions

If $f,g:R \to R$ be defined by $f(x) = 2x + 1$ and $g(x) = {x^2} - 2,\forall x \in R$
respectively. Then, find $gof$

VAVidaara Admin Asked 9d ago 0 views 0 answers
📘 Relations and Functions NCERT Exemp.Q.3,Page 11 SA

If $f,g:R \to R$ be defined by $f(x) = 2x + 1$ and $g(x) = {x^2} - 2,\forall x \in R$
respectively. Then, find $gof$

Official Solution

VVidaara Team ✓ Verified solution NCERT & Exemplar

It is given that,, $f(x) = 2x + 1$ and $g(x) = {x^2} - 2,\forall x \in R$

$\therefore$ $gof = g\{ f(x)\}$

$= g(2x + 1) = {(2x + 1)^2} - 2$

$= 4{x^2} + 4x + 1 - 2$

$= 4{x^2} + 4x - 1$

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