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Pertanyaan

Jika begin mathsize 14px style f left parenthesis x right parenthesis equals x squared minus 1 end style dan begin mathsize 14px style g left parenthesis x right parenthesis equals sin open parentheses x close parentheses plus cos open parentheses x close parentheses end style, nilai begin mathsize 14px style left parenthesis f ring operator g right parenthesis open parentheses 5 over 4 straight pi close parentheses equals end style....

  1. begin mathsize 14px style square root of 2 end style 

  2. begin mathsize 14px style 1 end style 

  3. begin mathsize 14px style 1 half square root of 3 end style 

  4. begin mathsize 14px style 1 half square root of 2 end style 

  5. begin mathsize 14px style 1 half end style 

N. Indah

Master Teacher

Mahasiswa/Alumni Universitas Diponegoro

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah B.

Pembahasan

Ingat!

begin mathsize 14px style left parenthesis f ring operator g right parenthesis left parenthesis x right parenthesis equals f left parenthesis g left parenthesis x right parenthesis right parenthesis end style, artinya begin mathsize 14px style g end style dimasukkan ke begin mathsize 14px style f end style

Berdasarkan konsep tersebut akan dicari begin mathsize 14px style left parenthesis f ring operator g right parenthesis left parenthesis 5 over 4 straight pi right parenthesis equals... end style 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell g left parenthesis x right parenthesis end cell equals cell sin left parenthesis x right parenthesis plus cos left parenthesis x right parenthesis end cell row cell g left parenthesis 5 over 4 straight pi right parenthesis end cell equals cell sin left parenthesis 5 over 4 straight pi right parenthesis plus cos left parenthesis 5 over 4 straight pi right parenthesis end cell row blank equals cell negative 1 half square root of 2 plus left parenthesis negative 1 half square root of 2 right parenthesis end cell row blank equals cell negative square root of 2 end cell end table end style 

Maka 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell left parenthesis f ring operator g right parenthesis left parenthesis 5 over 4 straight pi right parenthesis end cell equals cell straight f left parenthesis straight g left parenthesis 5 over 4 straight pi right parenthesis right parenthesis end cell row blank equals cell straight f left parenthesis negative square root of 2 right parenthesis end root end cell row blank equals cell left parenthesis negative square root of 2 right parenthesis squared minus 1 equals 2 minus 1 end cell row blank equals 1 end table end style  

Jadi, jawaban yang tepat adalah B.

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