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

Diketahui  dan , dan . Rumus komposisi fungsi   = ... 

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S. Nur

Master Teacher

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Rumus komposisi fungsi adalah

Rumus komposisi fungsi  begin mathsize 14px style open parentheses g ring operator f ring operator h close parentheses open parentheses x close parentheses end style adalah begin mathsize 14px style 2 x squared minus 10 x plus 11 end style

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Jadi, Rumus komposisi fungsi adalah

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses g ring operator f ring operator h close parentheses open parentheses x close parentheses end cell equals cell g open parentheses f open parentheses 1 minus x close parentheses close parentheses end cell row cell space space space space space space space space space space space space space space space space space space space space space end cell equals cell g open parentheses open parentheses 1 minus x close parentheses squared plus 3 open parentheses 1 minus x close parentheses minus 1 close parentheses end cell row cell space space space space space space space space space space space space space space space space space space space space space space end cell equals cell g open parentheses 1 minus 2 x plus x squared plus 3 minus 3 x minus 1 close parentheses end cell row cell space space space space space space space space space space space space space space space space space space space space space end cell equals cell g open parentheses x squared minus 5 x plus 3 close parentheses end cell row cell space space space space space space space space space space space space space space space space space space space space space end cell equals cell 2 open parentheses x squared minus 5 x plus 3 close parentheses plus 5 end cell row cell space space space space space space space space space space space space space space space space space space space space space end cell equals cell 2 x squared minus 10 x plus 6 plus 5 end cell row cell space space space space space space space space space space space space space space space space space space space space space end cell equals cell 2 x squared minus 10 x plus 11 end cell end table end style

Jadi, Rumus komposisi fungsi  begin mathsize 14px style open parentheses g ring operator f ring operator h close parentheses open parentheses x close parentheses end style adalah begin mathsize 14px style 2 x squared minus 10 x plus 11 end style

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Revalia Hani Nur Safitri

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Jika f ( x ) = − 2 x − 3 , g ( x ) = x + 3 , dan h ( x ) = x dengan x ∈ R , maka nilai dari ( f ∘ g ∘ h ) ( 2 ) adalah ....

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