What is the domain of the composite function..Please help me!?
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what is the domain of the composite function of G(F(x)) G(F(x))=square root of 2-x
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Answer:
Hello F(x) = 2-x What is the domain of F(x) : R ==> x ∈ ]- ∞ +∞[ G(x) = √ x What is the domain of G(x) : no negative numbers ==> [0 +∞[ F(x) must belong to the domain of G So, 2 - x ∈ [0 +∞[ That means 2 - x ≥ 0 ==> 2 ≥ x ==> x ≤ 2 The domain is therefore ]- ∞ 2] Hope it helps It is fair to select a best answer, whatever it is. Thank you ! Bye !
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