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Jika diketahui f ( x ) = x 2 + 5 , g ( x ) = 3 x 2 + 8 , h ( x ) = 2 x + 8 . Tentukanlah: f. ( g ∘ h ∘ f ) ( x )

Jika diketahui . Tentukanlah:

f.  

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S. Nur

Master Teacher

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hasil dari adalah

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

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Pembahasan

Diketahui , , , maka: Sehingga: Jadi, hasil dari adalah

Diketahui f left parenthesis x right parenthesis equals x squared plus 5g left parenthesis x right parenthesis equals 3 x squared plus 8h left parenthesis x right parenthesis equals 2 x plus 8, maka:

table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses g ring operator h close parentheses 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 3 open parentheses 2 x plus 8 close parentheses squared plus 8 end cell row blank equals cell 3 left parenthesis 4 x squared plus 32 x plus 64 right parenthesis plus 8 end cell row blank equals cell 12 x squared plus 96 x plus 192 plus 8 end cell row blank equals cell 12 x squared plus 96 x plus 200 end cell end table 

Sehingga:

table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses g ring operator h ring operator f close parentheses left parenthesis x right parenthesis end cell equals cell left parenthesis open parentheses g ring operator h right parenthesis ring operator f close parentheses left parenthesis x right parenthesis end cell row blank equals cell 12 left parenthesis x squared plus 5 right parenthesis squared plus 96 left parenthesis x to the power of 2 end exponent plus 5 right parenthesis plus 200 end cell row blank equals cell 12 left parenthesis x to the power of 4 plus 10 x squared plus 25 right parenthesis plus 96 x squared plus 480 plus 200 end cell row blank equals cell 12 x to the power of 4 plus 120 x squared plus 300 plus 96 x squared plus 480 plus 200 end cell row blank equals cell 12 x to the power of 4 plus 216 x squared plus 980 end cell end table 

Jadi, hasil dari open parentheses g ring operator h ring operator f close parentheses left parenthesis x right parenthesis adalah Error converting from MathML to accessible text. 

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

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