Diket = f(x)=3x-1 g(x)=√x h(x) =x pangkat 2+2 Dit:a.(fogoh) (x) B. (gofoh) (x) C. (hogof) (x)
Matematika
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Pertanyaan
Diket = f(x)=3x-1
g(x)=√x
h(x) =x pangkat 2+2
Dit:a.(fogoh) (x)
B. (gofoh) (x)
C. (hogof) (x)
g(x)=√x
h(x) =x pangkat 2+2
Dit:a.(fogoh) (x)
B. (gofoh) (x)
C. (hogof) (x)
1 Jawaban
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1. Jawaban dedenkusnandar
f(x) = 3x - 1
g(x) = √x
h(x) = x² + 2
A) (fogoh) (x)
= f(g(x² + 2)
= f(√(x² + 2))
= 3(√x² + 2) - 1
B) (gofoh) (x)
= g(f(x² + 2)
= g(3(x² + 2) - 1)
= √(3x² + 6 - 1)
= √3x² + 5
C) (hogof) (x)
= h(g(3x - 1))
= h(√(3x - 1))
= (√3x - 1)² + 2
= 3x - 1 + 2
= 3x + 1