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

Pertanyaan

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 

F. Ayudhita

Master Teacher

Jawaban terverifikasi

Pembahasan

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

53

4.6 (3 rating)

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Diketahui f(x)=x2+4x+4 dan g(x)=x2−4x+4. Rumus f(g(x))​+g(f(x))​=....

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Jawaban terverifikasi

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