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Fungsi  dinyatakan dengan rumus , jika  dan . Tentukan : b. Rumus fungsi  adalah …

Pertanyaan

Fungsi begin mathsize 14px style f end style dinyatakan dengan rumus begin mathsize 14px style f left parenthesis x right parenthesis equals a x plus b end style, jika begin mathsize 14px style f left parenthesis 2 right parenthesis equals 13 end style dan begin mathsize 14px style f left parenthesis 5 right parenthesis space equals space 22 end style.

Tentukan :

b. Rumus fungsi begin mathsize 14px style f left parenthesis x right parenthesis end style adalah …

Pembahasan Soal:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank f end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses x close parentheses end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank a end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank x end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank b end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank f end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses 2 close parentheses end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 2 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank a end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank b end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 13 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank f end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses 5 close parentheses end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 5 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank a end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank b end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 22 end table end style    

Eliminasi kedua persamaan di atas.

table row cell size 14px 2 size 14px a size 14px plus size 14px b size 14px equals size 14px 13 end cell row cell size 14px 5 size 14px a size 14px plus size 14px b size 14px equals size 14px 22 size 14px space size 14px space size 14px space size 14px minus end cell row cell size 14px minus size 14px 3 size 14px a size 14px equals size 14px minus size 14px 9 end cell end table size 14px a size 14px equals size 14px 3   

sehingga nilai undefined sebagai berikut.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell 2 a plus b end cell equals 13 row blank rightwards double arrow cell 2 open parentheses 3 close parentheses plus b equals 13 end cell row blank rightwards double arrow cell 6 plus b equals 13 end cell row blank rightwards double arrow cell b equals 7 end cell end table end style 

Jadi, begin mathsize 14px style f open parentheses x close parentheses equals 3 x plus 7 end style. 

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 02 Maret 2021

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