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Diberikan (f−g)(x)=−2x2+9x−1 dan g(−2)=−17. Nilai f (-2) adalah ....

Pertanyaan

Diberikan begin mathsize 14px style left parenthesis f minus g right parenthesis left parenthesis x right parenthesis equals negative 2 x squared plus 9 x minus 1 end style dan begin mathsize 14px style g left parenthesis negative 2 right parenthesis equals negative 17 end style. Nilai (-2) adalah ....

  1. begin mathsize 14px style negative 44 end style

  2. begin mathsize 14px style negative 10 end style

  3. size 14px 5

  4. begin mathsize 14px style 10 end style

  5. begin mathsize 14px style 44 end style

M. Robo

Master Teacher

Jawaban terverifikasi

Jawaban

jawabannya adalah A.

Pembahasan

Ingat kembali bahwa size 14px left parenthesis size 14px f size 14px minus size 14px g size 14px right parenthesis size 14px left parenthesis size 14px x size 14px right parenthesis size 14px equals size 14px f size 14px left parenthesis size 14px x size 14px right parenthesis size 14px minus size 14px g size 14px left parenthesis size 14px x size 14px right parenthesis. Jika begin mathsize 14px style x equals negative 2 end style, maka

size 14px left parenthesis size 14px f size 14px minus size 14px g size 14px right parenthesis size 14px left parenthesis size 14px minus size 14px 2 size 14px right parenthesis size 14px equals size 14px f size 14px left parenthesis size 14px minus size 14px 2 size 14px right parenthesis size 14px minus size 14px g size 14px left parenthesis size 14px minus size 14px 2 size 14px right parenthesis 

Sehingga akan dicari nilai size 14px left parenthesis size 14px f size 14px minus size 14px g size 14px right parenthesis size 14px left parenthesis size 14px minus size 14px 2 size 14px right parenthesis. Perhatikan bahwa

table attributes columnalign right center left columnspacing 0px end attributes row cell size 14px left parenthesis size 14px f size 14px minus size 14px g size 14px right parenthesis size 14px left parenthesis size 14px minus size 14px 2 size 14px right parenthesis end cell size 14px equals cell size 14px minus size 14px 2 size 14px left parenthesis size 14px minus size 14px 2 size 14px right parenthesis to the power of size 14px 2 size 14px plus size 14px 9 size 14px left parenthesis size 14px minus size 14px 2 size 14px right parenthesis size 14px minus size 14px 1 end cell row blank size 14px equals cell size 14px minus size 14px 2 size 14px left parenthesis size 14px 4 size 14px right parenthesis size 14px minus size 14px 18 size 14px minus size 14px 1 end cell row blank size 14px equals cell size 14px minus size 14px 8 size 14px minus size 14px 18 size 14px minus size 14px 1 end cell row blank size 14px equals cell size 14px minus size 14px 27 end cell end table 
Maka didapat

table attributes columnalign right center left columnspacing 0px end attributes row cell size 14px left parenthesis size 14px f size 14px minus size 14px g size 14px right parenthesis size 14px left parenthesis size 14px minus size 14px 2 size 14px right parenthesis end cell size 14px equals cell size 14px f size 14px left parenthesis size 14px minus size 14px 2 size 14px right parenthesis size 14px minus size 14px g size 14px left parenthesis size 14px minus size 14px 2 size 14px right parenthesis size 14px space end cell row cell size 14px minus size 14px 27 end cell size 14px equals cell size 14px f size 14px left parenthesis size 14px minus size 14px 2 size 14px right parenthesis size 14px minus size 14px left parenthesis size 14px minus size 14px 17 size 14px right parenthesis end cell row cell size 14px minus size 14px 27 end cell size 14px equals cell size 14px f begin mathsize 14px style left parenthesis negative 2 right parenthesis end style size 14px plus size 14px 17 end cell row cell size 14px f size 14px left parenthesis size 14px minus size 14px 2 size 14px right parenthesis end cell size 14px equals cell size 14px minus size 14px 27 size 14px minus size 14px 17 end cell row cell size 14px f begin mathsize 14px style left parenthesis negative 2 right parenthesis end style end cell size 14px equals cell size 14px minus size 14px 44 end cell end table    

Jadi, jawabannya adalah A.

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