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Jika f ( x ) = x 2 − 3 x + 1 , g ( x ) = x + 4 , dan h ( x ) = 2 x − 3 . Nilai ( f ∘ g ∘ h ) ( x ) adalah ....

Jika , dan . Nilai  adalah ....

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F. Kurnia

Master Teacher

Mahasiswa/Alumni Universitas Jember

Jawaban terverifikasi

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hasil dari fungsi tersebut adalah

hasil dari left parenthesis f ring operator g ring operator h right parenthesis left parenthesis x right parenthesis fungsi tersebut adalah Error converting from MathML to accessible text.

Pembahasan

Diketahui , , dan . Ingat bahwa Oleh karena itu, hasil dari fungsi tersebut adalah

Diketahui f left parenthesis x right parenthesis equals x squared minus 3 x plus 1g left parenthesis x right parenthesis equals x plus 4, dan h left parenthesis x right parenthesis equals 2 x minus 3. Ingat bahwa 

table attributes columnalign right center left columnspacing 0px end attributes row cell left parenthesis f ring operator g ring operator h right parenthesis left parenthesis x right parenthesis end cell equals cell f ring operator left parenthesis left parenthesis g ring operator h right parenthesis left parenthesis x right parenthesis right parenthesis end cell row blank equals cell f ring operator left parenthesis g left parenthesis h left parenthesis x right parenthesis right parenthesis right parenthesis end cell row blank equals cell f left parenthesis g left parenthesis h left parenthesis x right parenthesis right parenthesis right parenthesis end cell end table

rightwards arrow left parenthesis g ring operator h right parenthesis left parenthesis x right parenthesis

table attributes columnalign right center left columnspacing 0px end attributes row cell left parenthesis g ring operator h right parenthesis left parenthesis x right parenthesis end cell equals cell g left parenthesis h left parenthesis x right parenthesis right parenthesis end cell row blank equals cell left parenthesis h left parenthesis x right parenthesis right parenthesis plus 4 end cell row blank equals cell left parenthesis 2 x minus 3 right parenthesis plus 4 end cell row blank equals cell 2 x plus 1 end cell end table

table attributes columnalign right center left columnspacing 0px end attributes row blank rightwards arrow cell left parenthesis f ring operator g ring operator h right parenthesis left parenthesis x right parenthesis end cell end table

table attributes columnalign right center left columnspacing 0px end attributes row cell left parenthesis f ring operator g ring operator h right parenthesis left parenthesis x right parenthesis end cell equals cell f ring operator left parenthesis left parenthesis g ring operator h right parenthesis left parenthesis x right parenthesis right parenthesis end cell row blank equals cell f left parenthesis g left parenthesis h left parenthesis x right parenthesis right parenthesis right parenthesis end cell row blank equals cell left parenthesis g left parenthesis h left parenthesis x right parenthesis right parenthesis right parenthesis squared minus 3 left parenthesis g left parenthesis h left parenthesis x right parenthesis right parenthesis right parenthesis plus 1 end cell row blank equals cell left parenthesis 2 x plus 1 right parenthesis squared minus 3 left parenthesis 2 x plus 1 right parenthesis plus 1 end cell row blank equals cell left parenthesis 4 x squared plus 4 x plus 1 right parenthesis minus 6 x minus 3 plus 1 end cell row blank equals cell 4 x squared minus 2 x minus 1 end cell end table

Oleh karena itu, hasil dari left parenthesis f ring operator g ring operator h right parenthesis left parenthesis x right parenthesis fungsi tersebut adalah Error converting from MathML to accessible text.

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Diketahui fungsi f : R → R , g : R → R , dan h : R → R , dengan f ( x ) = x + 2 , g ( x ) = 3 x − 1 , dan h ( x ) = x 2 − 1 .Tentukan: b. ( g ∘ h ∘ f ) ( x )

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