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Jika diketahui f ( x ) = 4 x 2 + 3 , g ( x ) = x − 5 dan h ( x ) = 2 x ​ . Rumus komposisi fungsi ( f ∘ g ∘ h ) ( x ) adalah ...

Jika diketahui  dan  . Rumus komposisi fungsi  adalah ...

  1. ...

  2. ...space

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R. Azizatul

Master Teacher

Mahasiswa/Alumni Universitas Negeri Semarang

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Pembahasan

1. Tentukan 2. Tentukan

1. Tentukan begin mathsize 14px style open parentheses f ring operator g close parentheses open parentheses x close parentheses end style

begin mathsize 14px style open parentheses f ring operator g close parentheses open parentheses x close parentheses equals 4 open parentheses x minus 5 close parentheses squared plus 3 space space space space space space space space space space space space space space equals 4 open parentheses x squared minus 10 x plus 25 close parentheses plus 3 space space space space space space space space space space space space space space equals 4 x squared minus 40 x plus 100 plus 3 space space space space space space space space space space space space space space equals 4 x squared minus 40 x plus 103 end style

2. Tentukan begin mathsize 14px style open parentheses f ring operator g ring operator h close parentheses open parentheses x close parentheses end style

begin mathsize 14px style open parentheses f ring operator g ring operator h close parentheses open parentheses x close parentheses equals 4 open parentheses square root of 2 x end root close parentheses squared minus 40 open parentheses square root of 2 x end root close parentheses plus 103 space space space space space space space space space space space space space space space space space space space space equals 4 open parentheses 2 x close parentheses minus 40 square root of 2 x end root plus 103 space space space space space space space space space space space space space space space space space space space space equals 8 x minus 40 square root of 2 x end root plus 103 end style

Fungsi Komposisi

Fungsi Invers

Invers Fungsi Komposisi

Latihan Soal Fungsi Komposisi dan Invers

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DIketahui f ( x ) = x + 2 , g ( x ) = 3 x − x dan h ( x ) = x 2 + 5 x − 4 ,fungsi komposisi ( f ∘ g ∘ h ) ( x ) = ....

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