27. Diberikan π(π₯) = π₯^2 + 2 dan π(π₯) = π₯^2 β 2. Hasil dari (π π π)(π₯) β (π π π)(π₯)= ...
a. 8π₯^2 + 4
b. 8π₯^2 β 4
c. β8π₯^2 + 4
d. 4
e. β4
Jawaban :
π(π₯) = π₯^2 + 2
π(π₯) = π₯^2 β 2
(π π π)(π₯) β (π π π)(π₯) = g (f (x)) - f (g(x))
(π π π)(π₯) β (π π π)(π₯) = g (π₯^2 + 2) - f (π₯^2 β 2)
(π π π)(π₯) β (π π π)(π₯) = (π₯^2 + 2)^2 β 2 - ((π₯^2 β 2)^2 + 2)
(π π π)(π₯) β (π π π)(π₯) = (π₯^4 + 4x^2 + 4)β 2 - ((π₯^4 β 4x^2 + 4) + 2)
(π π π)(π₯) β (π π π)(π₯) = π₯^4 + 4x^2 + 4 β 2 - π₯^4 + 4x^2 - 4 - 2
(π π π)(π₯) β (π π π)(π₯) = π₯^4 + 4x^2 + 2 - π₯^4 + 4x^2 - 6
Jawaban : B
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