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Diketahui fungsi f ( x ) = 2 x + 3 . Tentukan ( f ∘ f ∘ f ) ( x ) !

Diketahui fungsi  . Tentukan !

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S. Nur

Master Teacher

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begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses f ring operator f ring operator f close parentheses end cell end table open parentheses x close parentheses 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 8 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 plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 21 end table end style.

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Pembahasan

Jadi, .

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses f ring operator f ring operator f close parentheses open parentheses x close parentheses end cell equals cell f open square brackets f open parentheses f open parentheses x close parentheses close parentheses close square brackets end cell row cell f open parentheses f open parentheses x close parentheses close parentheses end cell equals cell 2 x plus 3 end cell row blank equals cell 2 open parentheses 2 x plus 3 close parentheses plus 3 end cell row blank equals cell 4 x plus 6 plus 3 end cell row blank equals cell 4 x plus 9 end cell row cell f open square brackets f open parentheses f open parentheses x close parentheses close parentheses close square brackets end cell equals cell 2 x plus 3 end cell row blank equals cell 2 open parentheses 4 x plus 9 close parentheses plus 3 end cell row blank equals cell 8 x plus 18 plus 3 end cell row blank equals cell 8 x plus 21 end cell end table end style

Jadi, begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses f ring operator f ring operator f close parentheses end cell end table open parentheses x close parentheses 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 8 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 plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 21 end table end style.

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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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