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Diketahui f ( x ) = x 2 + 1 dan ( g ∘ f ) ( x ) = 4 x − 3 , maka g ( x ) adalah ...

Diketahui  dan , maka  adalah ...

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I. Sutiawan

Master Teacher

Mahasiswa/Alumni Universitas Pasundan

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adalah

 g left parenthesis x right parenthesis adalah table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus-or-minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 4 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell square root of x minus 1 end root end cell 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 

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Pembahasan

Diketahui dan , maka: Jadi, adalah

Diketahui f left parenthesis x right parenthesis equals x squared plus 1 dan left parenthesis g ring operator f right parenthesis left parenthesis x right parenthesis equals 4 x minus 3, maka:

table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses g ring operator f close parentheses left parenthesis x right parenthesis end cell equals cell g left parenthesis f left parenthesis x right parenthesis right parenthesis end cell row cell 4 x minus 3 end cell equals cell g left parenthesis x squared plus 1 right parenthesis end cell row cell g left parenthesis x squared plus 1 right parenthesis end cell equals cell 4 x minus 3 end cell row cell misal space y end cell equals cell x squared plus 1 comma space maka space x equals plus-or-minus square root of y minus 1 end root end cell row cell g open parentheses open parentheses plus-or-minus square root of y minus 1 end root close parentheses squared plus 1 close parentheses end cell equals cell 4 open parentheses plus-or-minus square root of y minus 1 end root close parentheses minus 3 end cell row cell g left parenthesis y right parenthesis end cell equals cell plus-or-minus 4 square root of y minus 1 end root minus 3 end cell row cell g left parenthesis x right parenthesis end cell equals cell plus-or-minus 4 square root of x minus 1 end root minus 3 end cell end table 

Jadi, g left parenthesis x right parenthesis adalah table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus-or-minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 4 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell square root of x minus 1 end root end cell 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 

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