diketahui f(x)=4x+1, g(x)=x²-3x, h(x)=2+x . tentukan (f°g°h) (x) (f°g°h) (-2)
Matematika
AnggreniChim13
Pertanyaan
diketahui f(x)=4x+1, g(x)=x²-3x, h(x)=2+x . tentukan
(f°g°h) (x)
(f°g°h) (-2)
(f°g°h) (x)
(f°g°h) (-2)
1 Jawaban
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1. Jawaban Mayalda
(f•g•h) (x)
f(g(h(x))) = f(g(2+x))
= f(x²-3x(2+x))
= f((2+x)²-3(2+x))
= f(x²+4x+4 - 3x-6)
= f(x²+x-2)
= 4x+1(x²+x-2)
= 4(x²+x-2)+1
= 4x² + 4x - 8 +1
= 4x² + 4x - 7
(f•g•h) (-2)
= 4x² + 4x - 7
= 4(-2)² + 4(-2) - 7
= 4(4) - 8 - 7
= 16 - 15
= 1
maaf kalau salah