Diketahui f(x) = x + 5,g(x)=2x + 3 dan h(x) = 3x - 1 . tentukan (f °g) ° h(x)
Matematika
diahayunvnti17
Pertanyaan
Diketahui f(x) = x + 5,g(x)=2x + 3 dan h(x) = 3x - 1 . tentukan (f °g) ° h(x)
2 Jawaban
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1. Jawaban 4LL
Langsung aja y
misal → (fog)(x) = s(x)
(fog)(x) = f{g(x)}
= g(x) + 5
= 2x + 3 + 5
= 2x + 8
(soh)(x) = s{h(x)}
= 2h(x) + 8
= 2(3x-1) + 8
= 6x - 2 + 8
= 6x + 6
semoga berguna +_+ -
2. Jawaban deviaberlian
(f°g)°h(x) = (f(g(x)))°h(x)
(f°g)°h(x) = f(2x+3)°h(x)
(f°g)°h(x) = (2x+3+5)°h(x)
(f°g)°h(x) = (2x+8)°(3x-1)
(f°g)°h(x) = 2(3x-1) + 8
(f°g)°h(x) = 6x-2+8
(f°g)°h(x) = 6x+6