Jika f(x) = x^2 -2 dan g(x) = x^2 + 2 (fog)(x) - (gof)(x) =
Matematika
Miko087
Pertanyaan
Jika f(x) = x^2 -2 dan g(x) = x^2 + 2 (fog)(x) - (gof)(x) =
2 Jawaban
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1. Jawaban 18Navillera
(fog)(x)
= (x²+2)² - 2
= x^4 + 4x² + 4 -2
= x^4 + 4x^2 +2
(gof)(x)
= (x²-2)² +2
= x^4 + 4x² + 4 +2
= x^4 +4x² + 6
(fog)(x) - (gof)(x)
= x^4 + 4x^2 +2 - (x^4 +4x^2 + 6)
= 2-6
= -4 -
2. Jawaban pfthal
f(x) = x^2 - 2
g(x) = x^2 + 2
(fog)(x) - (gof)(x) = ((x^2+2)^2 - 2) - ((x^2-2)^2 + 2
= ((x^4 + 4x^2 + 4) - 2) - ((x^4 - 4x^2 + 4) + 2)
= (x^4 + 4x^2 + 2) - (x^4 - 4x^2 + 6)
= -4