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Suatu fungsi ditentukan dengan rumus. Jika  dan , maka

Pertanyaan

Suatu fungsi ditentukan dengan rumusbegin mathsize 14px style f left parenthesis x right parenthesis equals p x plus q end style. Jika begin mathsize 14px style f left parenthesis negative 2 right parenthesis equals 17 end style dan begin mathsize 14px style f left parenthesis 5 right parenthesis equals negative 32 end style, maka begin mathsize 14px style f left parenthesis 12 right parenthesis equals.... end style  

  1. ....

  2. ....undefined

Pembahasan Video:

Pembahasan Soal:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell f left parenthesis negative 2 right parenthesis end cell equals 17 row cell p left parenthesis negative 2 right parenthesis plus q end cell equals 17 row cell negative 2 p plus q end cell equals cell 17.... left parenthesis p e r s space 1 right parenthesis end cell row blank blank blank row cell f left parenthesis 5 right parenthesis end cell equals cell negative 32 end cell row cell p left parenthesis 5 right parenthesis plus q end cell equals cell negative 32 end cell row cell 5 p plus q end cell equals cell negative 32.... left parenthesis p e r s space 2 right parenthesis end cell row blank blank blank end table end style

Eliminasi nilai q dari pers 1 dan 2

begin mathsize 14px style stack attributes charalign center stackalign right end attributes row minus 2 p plus q equals none 17 none end row row 5 p plus q equals negative 32 minus end row horizontal line row minus 7 p equals 49 none none end row row p equals fraction numerator 49 over denominator negative 7 end fraction none none none end row row equals negative 7 none none none end row end stack end style

Substitusi nilai p

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell negative 2 p plus q end cell equals 17 row cell negative 2 left parenthesis negative 7 right parenthesis plus q end cell equals 17 row cell 14 plus q end cell equals 17 row q equals cell 17 minus 14 end cell row blank equals 3 end table end style

Jadi, fungsi tersebut adalah begin mathsize 14px style f left parenthesis x right parenthesis equals negative 7 x plus 3 end style,  

Nilai dari 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell f left parenthesis 12 right parenthesis end cell equals cell negative 7 left parenthesis 12 right parenthesis plus 3 end cell row blank equals cell negative 84 plus 3 end cell row blank equals cell negative 81 end cell end table end style

 

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 04 Mei 2021

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