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Diketahui fungsi f ( x ) = 2 x − 1 , fungsi g ( x ) = 4 x + 5 dan fungsi h ( x ) = 2 x − 3 maka rumus fungsi komposisi ( f ∘ g ∘ h ) ( x ) adalah ....

Diketahui fungsi , fungsi  dan fungsi  maka rumus fungsi komposisi  adalah ....

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S. Nur

Master Teacher

Jawaban terverifikasi

Jawaban

Rumus fungsi .

Rumus fungsi  begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell left parenthesis straight f ring operator straight g ring operator straight h right parenthesis left parenthesis straight 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 16 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank straight 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 15 end table end style.

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Pembahasan

Diketahui: fungsi , fungsi dan fungsi . Ditanya: fungsi komposisi Jawaban: Dengan konsep komposisi fungsi: Dengan demikian, Rumus fungsi .

Diketahui:

fungsi begin mathsize 14px style straight f left parenthesis straight x right parenthesis equals 2 straight x minus 1 end style, fungsi begin mathsize 14px style g left parenthesis straight x right parenthesis equals 4 straight x plus 5 end style dan fungsi begin mathsize 14px style h left parenthesis straight x right parenthesis equals 2 straight x minus 3 end style.

Ditanya:

fungsi komposisi begin mathsize 14px style left parenthesis straight f ring operator straight g ring operator straight h right parenthesis left parenthesis straight x right parenthesis end style 

Jawaban:

Dengan konsep komposisi fungsi:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell left parenthesis straight f ring operator straight g ring operator straight h right parenthesis left parenthesis straight x right parenthesis end cell equals cell straight f left parenthesis straight g left parenthesis straight h left parenthesis straight x right parenthesis right parenthesis right parenthesis end cell row blank equals cell straight f left parenthesis straight g left parenthesis 2 straight x minus 3 right parenthesis right parenthesis end cell row blank equals cell straight f left parenthesis 4 left parenthesis 2 straight x minus 3 right parenthesis plus 5 right parenthesis end cell row blank equals cell straight f left parenthesis 8 straight x minus 12 plus 5 right parenthesis end cell row blank equals cell straight f left parenthesis 8 straight x minus 7 right parenthesis end cell row blank equals cell 2 left parenthesis 8 straight x minus 7 right parenthesis minus 1 end cell row blank equals cell 16 straight x minus 14 minus 1 end cell row blank equals cell 16 straight x minus 15 end cell end table end style 

Dengan demikian, Rumus fungsi  begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell left parenthesis straight f ring operator straight g ring operator straight h right parenthesis left parenthesis straight 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 16 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank straight 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 15 end table end style.

Fungsi Komposisi

Fungsi Invers

Invers Fungsi Komposisi

Latihan Soal Fungsi Komposisi dan Invers

Latihan Bab

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Jika diketahui fungsi f ( x ) = 3 x − 1 x + 2 ​ , g ( x ) = 2 x 2 + 5 , d an h ( x ) = 3 x − 4 ​ , maka ( f ∘ g ∘ h ) ( x ) =...

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