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Fungsi f : R → R dan g : R → R dengan f ( x ) = x − 3 dan g ( x ) = x 2 + 5 . Jika ( g ∘ f ) ( x ) = ( f ∘ g ) ( x ) , maka x = ...

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L. Marlina

Master Teacher

Mahasiswa/Alumni Institut Teknologi Bandung

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.

 begin mathsize 14px style x equals 2 end style.

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Jadi, .

begin mathsize 14px style space space space space space space space space space left parenthesis g ring operator f right parenthesis left parenthesis x right parenthesis equals left parenthesis f ring operator g right parenthesis left parenthesis x right parenthesis space space space space space space space space space space space space space g open parentheses f open parentheses x close parentheses close parentheses equals f open parentheses g open parentheses x close parentheses close parentheses space space space space space space space space space space space g open parentheses x minus 3 close parentheses equals f open parentheses x squared plus 5 close parentheses space space space space space space open parentheses x minus 3 close parentheses squared plus 5 equals x squared plus 5 minus 3 space x squared minus 6 x plus 9 plus 5 equals x squared plus 2 space space space space space space space space minus 6 x plus 14 equals 2 space space space space space space space space space space space space space space space space minus 6 x equals negative 12 space space space space space space space space space space space space space space space space space space space space space x equals 2 end style   

Jadi, begin mathsize 14px style x equals 2 end style.

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Diketahui f ( x ) = 2 x − 5 dan g ( x ) = 1 − 2 x tentukanlah: b. g ∘ f ( x ) f. g ∘ f ( 1 )

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