If f(x)=2 x^2+3, g(x)=5 x-2, then find : gog - Vidyadip

Question

If $f(x)=2 x^2+3, g(x)=5 x-2$, then find : gog

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Answer

$\begin{aligned} & (g \circ g)(x)=g(g(x)) \\ & =g(5 x-2) \\ & =5(5 x-2)-2 \\ & =25 x-10-2 \\ & =25 x-12\end{aligned}$

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