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Functions(p-1) — Maths (commerce) STD 11 Commerce / Arts — Question

Maharashtra BoardEnglish MediumSTD 11 Commerce / ArtsMaths (commerce)Functions(p-1)1 Mark
Question
If $f(x)=2 x^2+3, g(x)=5 x-2$, then find : fof
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Answer

$\begin{aligned} &(f \circ f)(x)=f(f(x)) \\ & =f\left(2 x^2+3\right) \\ & =2\left(2 x^2+3\right)^2+3 \\ & =2\left(4 x^4+12 x^2+9\right)+3 \\ & =8 x^4+24 x^2+18+3 \\ & =8 x^4+24 x^2+21\end{aligned}$

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