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Diketahui polinomial  dan . Jika   benilai sama untuk, nilai  adalah ...

Pertanyaan

Diketahui polinomial begin mathsize 14px style f open parentheses x close parentheses equals x squared minus x plus 4 end style dan size 14px g size 14px left parenthesis size 14px x size 14px right parenthesis size 14px equals size 14px 3 size 14px x to the power of size 14px 2 size 14px minus size 14px 2 size 14px x size 14px plus size 14px c. Jika begin mathsize 14px style f left parenthesis x right parenthesis space text dan end text space g left parenthesis x right parenthesis end style  benilai sama untukbegin mathsize 14px style space x space equals negative 3 space end style, nilai begin mathsize 14px style g left parenthesis 4 right parenthesis end style adalah ...

  1. begin mathsize 14px style negative 17 end style 

  2. begin mathsize 14px style negative 8 end style 

  3. undefined 

  4. size 14px 15 

  5. size 14px 23 

Pembahasan Video:

Pembahasan Soal:

Diketahui begin mathsize 14px style f open parentheses x close parentheses equals x squared minus x plus 4 comma space g open parentheses x close parentheses equals 3 x squared minus 2 x plus c end style, dan begin mathsize 14px style f open parentheses x close parentheses comma space g open parentheses x close parentheses end style bernilai sama untuk begin mathsize 14px style x equals negative 3 end style, maka:

begin mathsize 14px style space space space space space space space space space space space space space space space space f open parentheses negative 3 close parentheses equals g open parentheses negative 3 close parentheses open parentheses negative 3 close parentheses squared minus open parentheses negative 3 close parentheses plus 4 equals 3 open parentheses negative 3 close parentheses squared minus 2 open parentheses negative 3 close parentheses plus c space space space space space space space space space space space space 9 plus 3 plus 4 equals 27 plus 6 plus c space space space space space space space space space space space space space space space space space space space space space 16 equals 33 plus c space space space space space space space space space space space space space space space space 33 plus c equals 16 space space space space space space space space space space space space space space space space space space space space space space space c equals 16 minus 33 space space space space space space space space space space space space space space space space space space space space space space space c equals negative 17 end style 

Sehingga:

begin mathsize 14px style g open parentheses x close parentheses equals 3 x squared minus 2 x plus c g open parentheses x close parentheses equals 3 x squared minus 2 x minus 17 g open parentheses 4 close parentheses equals 3 open parentheses 4 close parentheses squared minus 2 open parentheses 4 close parentheses minus 17 g open parentheses 4 close parentheses equals 3 open parentheses 16 close parentheses minus 8 minus 17 g open parentheses 4 close parentheses equals 48 minus 8 minus 17 g open parentheses 4 close parentheses equals 23 end style 

Jadi, jawaban yang benar adalah E.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 12 April 2021

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