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Jika f(x) = x − 2 dan g ( x ) = x + 2 , fungsi { ( f ∘ g ) ( x ) } ⋅ { ( g ∘ f ( x ) ) } = ....

Jika f(x) =  dan , fungsi  

  1. begin mathsize 14px style x squared plus 4 end style 

  2. begin mathsize 14px style x squared minus 4 end style 

  3. x squared 

  4. x + 4

  5. begin mathsize 14px style x minus 4 end style 

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S. Nur

Master Teacher

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Jika f(x) = dan , fungsi kita cari komposisi fungsinya dulu, jadi, jawabannya C

Jika f(x) =  dan , fungsi  

kita cari komposisi fungsinya dulu,

begin mathsize 14px style left parenthesis f ring operator g right parenthesis left parenthesis x right parenthesis equals f left parenthesis g left parenthesis x right parenthesis right parenthesis equals f left parenthesis x plus 2 right parenthesis equals left parenthesis x plus 2 right parenthesis minus 2 equals x left parenthesis g ring operator f right parenthesis left parenthesis x right parenthesis equals g left parenthesis f left parenthesis x right parenthesis right parenthesis equals g left parenthesis x minus 2 right parenthesis equals left parenthesis x minus 2 right parenthesis plus 2 equals x left curly bracket left parenthesis f ring operator g right parenthesis left parenthesis x right parenthesis right curly bracket times left curly bracket left parenthesis g ring operator f right parenthesis left parenthesis x right parenthesis right curly bracket equals x times x equals x squared end style

jadi, jawabannya C

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Muhammad Adam Rayhan Nst

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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 ) ) ​ = ....

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