Pertanyaan

Diketahui g ( x ) = 4 x − 3 dan ( f ∘ g ) ( x ) = 12 x − 8 , maka tentukan f ( x ) = ...

Diketahui dan , maka tentukan

M. Nasrullah

Master Teacher

Mahasiswa/Alumni Universitas Negeri Makassar

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Kita misalkan Jadi,

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses f ring operator g close parentheses open parentheses x close parentheses end cell equals cell 12 x minus 8 end cell row cell f open parentheses g open parentheses x close parentheses close parentheses end cell equals cell 12 x minus 8 end cell row cell f open parentheses 4 x minus 3 close parentheses end cell equals cell 12 x minus 8 end cell end table end style

Kita misalkan

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row y equals cell 4 x minus 3 end cell row cell 4 x end cell equals cell negative y minus 3 end cell row x equals cell fraction numerator negative y minus 3 over denominator 4 end fraction end cell end table end style

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell f left parenthesis 4 x minus 3 right parenthesis end cell equals cell 12 x minus 8 end cell row cell f left parenthesis y right parenthesis end cell equals cell 12 left parenthesis fraction numerator negative y minus 3 over denominator 4 end fraction right parenthesis minus 8 end cell row cell f left parenthesis y right parenthesis end cell equals cell negative 3 y minus 9 minus 8 end cell row cell f left parenthesis y right parenthesis end cell equals cell negative 3 y minus 17 end cell row cell f left parenthesis x right parenthesis end cell equals cell negative 3 x minus 17 end cell row blank blank blank end table end style

Jadi, begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell f left parenthesis x right parenthesis 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 minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 3 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 minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 17 end table end style  

 

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Jika ( f ∘ g ) ( x ) = x 2 − 4 dan g ( x ) = x + 3 maka f ( x ) = ...

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