if f(x)=2∣x−3∣ and g(x)=x^2 .Find: (i)gof (ii)fog (iii)domain of fog (iv)range of gof


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Question Number 24747 by NECx last updated on 25/Nov/17

$i f f (x) = 2 ∣ x - 3 ∣ a n d g (x) = x^{2} . F i n d :$ $(i) g o f (i i) f o g (i i i) d o m a i n o f f o g$ $(i v) r a n g e o f g o f$
	Answered by ajfour last updated on 25/Nov/17

	$g o f = g [f (x)] = 4 {(x - 3)}^{2}$ $r a n g e \in [0, \infty)$ $f o g = f [g (x)] = 2 ∣ x^{2} - 3 ∣$ $d o m a i n \in (- \infty, \infty) .$
	Commented by NECx last updated on 25/Nov/17

	$t h a n k s$
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