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D ik e t ah u i ( f o g ) ( x ) = x + 1 d an f ( x − 2 ) = ( x − 2 ) ( x − 1 ) ​ . M aka ni l ai d a r i g − ( 2 ) [ d iba c a : g in v ers 2 ] a d a l ah ...

  1. 1

  2. negative 1 half

  3. 1 half

  4. negative 3 over 4

  5. 1 fourth

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D. Kamilia

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

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Pembahasan

f left parenthesis x minus 2 right parenthesis equals fraction numerator left parenthesis x minus 1 right parenthesis over denominator left parenthesis x minus 2 right parenthesis end fraction  I n v e r s rightwards arrow x minus 2 space a g a r space d i t e m u k a n space n i l a i space d a r i space f left parenthesis x right parenthesis  y equals x minus 2  x equals y plus 2 left right arrow y equals x plus 2 space m a k a colon  f left parenthesis x right parenthesis equals fraction numerator left square bracket left parenthesis x plus 2 right parenthesis minus 1 right square bracket over denominator left square bracket left parenthesis x plus 2 right parenthesis minus 2 right square bracket end fraction  left parenthesis f o g right parenthesis left parenthesis x right parenthesis equals f left parenthesis g left parenthesis x right parenthesis right parenthesis  f left parenthesis g left parenthesis x right parenthesis right parenthesis equals x plus 1  fraction numerator left square bracket g left parenthesis x right parenthesis plus 1 right square bracket over denominator g left parenthesis x right parenthesis end fraction equals x plus 1  g left parenthesis x right parenthesis plus 1 equals left parenthesis x plus 1 right parenthesis. g left parenthesis x right parenthesis  g left parenthesis x right parenthesis plus 1 equals x. g left parenthesis x right parenthesis plus g left parenthesis x right parenthesis  minus x. g left parenthesis x right parenthesis equals negative 1  g left parenthesis x right parenthesis equals 1 over x  y equals 1 over x rightwards arrow x equals 1 over y  g to the power of negative 1 end exponent left parenthesis x right parenthesis equals 1 over x  J a d i comma space n i l a i space d a r i space g minus apostrophe left parenthesis 2 right parenthesis equals 1 half

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