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Pertanyaan

Diketahui f(x) = 4 + x, g(x) = 3 - 2xdan h(x) = -24 dengan undefined . Nilai x yang memenuhi dari begin mathsize 14px style open parentheses straight h ring operator straight f ring operator straight g close parentheses open parentheses straight x close parentheses equals 2 end style adalah ....

  1. 5

  2. begin mathsize 14px style 1 fourth end style 

  3. begin mathsize 14px style negative 1 half end style 

  4. -3 

  5. -7

A. Rizky

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Jawaban

jawabannya adalah A.

Pembahasan

Pertama, kita cari nilai x sehingga h(x) = 2.

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 2 row cell negative 2 straight x minus 4 end cell equals 2 row cell negative 2 straight x end cell equals cell 2 plus 4 end cell row cell negative 2 straight x end cell equals 6 row straight x equals cell fraction numerator 6 over denominator negative 2 end fraction end cell row straight x equals cell negative 3 end cell end table end style 

Maka

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses straight h ring operator straight f ring operator straight g close parentheses open parentheses straight x close parentheses end cell equals 2 row cell straight h open parentheses straight f open parentheses straight g open parentheses straight x close parentheses close parentheses close parentheses end cell equals cell straight h open parentheses negative 3 close parentheses end cell row cell straight f open parentheses straight g open parentheses straight x close parentheses close parentheses end cell equals cell negative 3 end cell end table end style 

Selanjutnya, kita cari nilai x yang memenuhi f(x) = -3 .

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 negative 3 end cell row cell 4 plus straight x end cell equals cell negative 3 end cell row straight x equals cell negative 3 minus 4 end cell row straight x equals cell negative 7 end cell end table end style 

Maka

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell straight f open parentheses straight g open parentheses straight x close parentheses close parentheses end cell equals cell negative 3 end cell row cell straight f open parentheses straight g open parentheses straight x close parentheses close parentheses end cell equals cell straight f open parentheses negative 7 close parentheses end cell row cell straight g open parentheses straight x close parentheses end cell equals cell negative 7 end cell end table end style 

Selanjutnya, kita cari nilai x yang memenuhi g(x) = -7.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell straight g open parentheses straight x close parentheses end cell equals cell negative 7 end cell row cell 3 minus 2 straight x end cell equals cell negative 7 end cell row cell negative 2 straight x end cell equals cell negative 7 minus 3 end cell row cell negative 2 straight x end cell equals cell negative 10 end cell row straight x equals cell fraction numerator negative 10 over denominator negative 2 end fraction end cell row straight x equals 5 end table end style 

Jadi, jawabannya adalah A.

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