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You are here: Home Math Department Inngangur að stærðfræðigreiningu Föll Samsett föll

Examples - Samsett föll

Dæmi

$ f(x)=3x^2$

$ g(x)=2x+4$

Skoðum $ f\circ g$ og $ g\circ f$

Dæmi:

$\displaystyle g(x) = \sin x, \qquad f(x) = x^2$    
$\displaystyle (g\circ f)(x) = g \left( f(x) \right) = g(x^2) = \sin x^2$    
$\displaystyle (f\circ g)(x) = f \left( g(x) \right) = f(\sin x) = \sin^2 x$    



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