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

Question

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

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Answer

$ f(x)=2 x^2+3, g(x)=5 x-2$
$\text { (i) (fog) }(x)=f(g(x))$
$=f(5 x-2)$
$=2(5 x-2)^2+3$
$=2\left(25 x^2-20 x+4\right)+3$
$=50 x^2-40 x+11 $v

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