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Functions — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsFunctions1 Mark
Question
Find fog and gof:$f(x)=x^2+5, g(x)=x-8$
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Answer

$ f(x)=x^2+5, g(x)=x-8$
$\text { (fog) }(x)=f(g(x))$
$=f(x-8)$
$=(x-8)^2+5$
$=x^2-16 x+64+5$
$=x^2-16 x+69$
$(g \circ f)(x)=g(f(x))$
$=g\left(x^2+5\right)$
$=x^2+5-8$
$=x-3 $

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