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Pertanyaan

Jika diketahui f ( x ) = 3 x + b , g ( x ) = 5 x + 16 dan ( f ∘ g ) ( x ) = ( g ∘ f ) ( x ) maka b = ...

Jika diketahui  dan   maka  

  1. 4space 

  2. 12space 

  3. 32space 

  4. 8space 

  5. 16space 

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S. Nur

Master Teacher

Jawaban terverifikasi

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Pembahasan

Jadi, jawaban yang tepat adalah B

begin mathsize 14px style open parentheses f ring operator g close parentheses open parentheses x 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 space space space equals f open parentheses 5 x plus 16 close parentheses space space space space space space space space space space space space space space equals 3 open parentheses 5 x plus 16 close parentheses plus b space space space space space space space space space space space space space space equals 15 x plus 48 plus b open parentheses g ring operator f close parentheses open parentheses x close parentheses equals g open parentheses f open parentheses x close parentheses close parentheses space space space space space space space space space space space space space space equals g open parentheses 3 x plus b close parentheses space space space space space space space space space space space space space space equals 5 open parentheses 3 x plus b close parentheses space space space space space space space space space space space space space space equals 15 x plus 5 b end style 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell left parenthesis f ring operator g right parenthesis left parenthesis x right parenthesis end cell equals cell left parenthesis g ring operator f right parenthesis left parenthesis x right parenthesis end cell row cell up diagonal strike 15 x end strike plus 48 plus b end cell equals cell up diagonal strike 15 x end strike plus 5 b end cell row 48 equals cell 5 b minus b end cell row 48 equals cell 4 b end cell row b equals cell 48 over 4 end cell row b equals 12 row blank blank blank end table end style  

Jadi, jawaban yang tepat adalah B

 

35

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Diketahui f ( x ) = x 2 + 4 x + 4 dan g ( x ) = x 2 − 4 x + 4 . Rumus f ( g ( x ) ) ​ + g ( f ( x ) ) ​ = ....

61

5.0

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