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Diketahui , dan . Maka, nilai adalah ....

Pertanyaan

Diketahui begin mathsize 14px style straight f open parentheses straight x close parentheses equals 2 straight x plus 4 comma straight g open parentheses straight x close parentheses equals 3 minus 2 straight x end style, dan begin mathsize 14px style straight h open parentheses straight x close parentheses equals negative straight x squared minus 2 straight x end style. Maka, nilai undefined adalah ....

  1. 19

  2. 1

  3. -9

  4. -66

  5. -224

A. Rizky

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Pembahasan

Pertama, kita cari nilai begin mathsize 14px style straight h open parentheses negative 1 close parentheses end style.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell straight h open parentheses straight x close parentheses end cell equals cell negative straight x squared minus 2 straight x end cell row cell straight h open parentheses negative 1 close parentheses end cell equals cell negative open parentheses negative 1 close parentheses squared minus 2 open parentheses negative 1 close parentheses end cell row blank equals cell negative 1 plus 2 end cell row blank equals 1 end table end style 

Sehingga

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses straight g ring operator straight f ring operator straight h close parentheses open parentheses negative 1 close parentheses end cell equals cell straight g open parentheses straight f open parentheses straight h open parentheses negative 1 close parentheses close parentheses close parentheses end cell row blank equals cell straight g open parentheses straight f open parentheses 1 close parentheses close parentheses end cell end table end style 

Selanjutnya, kita cari nilai begin mathsize 14px style straight f open parentheses 1 close parentheses end style.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell straight f open parentheses straight x close parentheses end cell equals cell 2 straight x plus 4 end cell row cell straight f open parentheses 1 close parentheses end cell equals cell 2 open parentheses 1 close parentheses plus 4 end cell row blank equals cell 2 plus 4 end cell row blank equals 6 end table end style 

Sehingga

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell straight g open parentheses straight f open parentheses 1 close parentheses close parentheses end cell equals cell straight g open parentheses 6 close parentheses end cell row blank equals cell 3 minus 2 open parentheses 6 close parentheses end cell row blank equals cell 3 minus 12 end cell row blank equals cell negative 9 end cell end table end style 

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Perhatikan diagram panah berikut ini. Fungsi komposisi berikut ini yang terdefinisi adalah ....

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Jawaban terverifikasi

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