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Functions — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsFunctions1 Mark
Question
Find fog and gof:

$f(x)=256 x^4, g(x)=\sqrt{x}$

✓

Answer

$f(x)=256 x^4, g(x)=\sqrt{ } x$
(fog) $(x)=f(g(x))=f(\sqrt{x})=256(\sqrt{x})^4=256 x^2$
$(g \circ f)(x)=g(f(x))=g\left(256 x^4\right)=\sqrt{256 x^4}=16 x^2$

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