if-f-x-2-x-3-and-g-x-x-2-Find-i-gof-ii-fog-iii-domain-of-fog-iv-range-of-gof-

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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