Pertanyaan

Jika diketahui fungsi f ( x ) = 4 x + 5 2 x − 3 ​ d an g ( x ) = x − 1 ​ , maka ( f − 1 ∘ g − 1 ) ( − 2 ) = ...

Jika diketahui fungsi  = ...

  1. -3,0

  2. -2,8

  3. -2,6

  4. 2,6

  5. 2,8

A. Acfreelance

Master Teacher

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Pembahasan

Penyelesaian:

Penyelesaian:

f left parenthesis x right parenthesis equals fraction numerator 2 x minus 3 over denominator 4 x plus 5 end fraction  f to the power of negative 1 end exponent left parenthesis x right parenthesis equals fraction numerator negative 5 x minus 3 over denominator 4 x minus 2 end fraction  g left parenthesis x right parenthesis equals square root of x minus 1 end root  y equals square root of x minus 1 end root  y squared equals x minus 1  x equals y squared plus 1  g to the power of negative 1 end exponent left parenthesis x right parenthesis equals x squared plus 1    left parenthesis f to the power of negative 1 end exponent ring operator g to the power of negative 1 end exponent right parenthesis left parenthesis x right parenthesis equals f to the power of negative 1 end exponent left parenthesis g to the power of negative 1 end exponent left parenthesis x right parenthesis right parenthesis  equals f to the power of negative 1 end exponent left parenthesis x squared plus 1 right parenthesis  equals fraction numerator negative 5 left parenthesis x squared minus 8 over denominator 4 x squared plus 2 end fraction    left parenthesis f to the power of negative 1 end exponent ring operator g to the power of negative 1 end exponent right parenthesis left parenthesis 2 right parenthesis equals fraction numerator negative 5 left parenthesis negative 2 right parenthesis squared minus 8 over denominator 4 left parenthesis negative 2 right parenthesis squared plus 2 end fraction  equals fraction numerator negative 5 left parenthesis 4 right parenthesis minus 8 over denominator 4 left parenthesis 4 right parenthesis plus 2 end fraction  equals fraction numerator negative 20 minus 8 over denominator 8 plus 2 end fraction equals fraction numerator negative 28 over denominator 10 end fraction equals negative 2 comma 8

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Pertanyaan serupa

Diketahui f − 1 ( x ) = 5 x − 1 2 x ​ dan g − 1 ( x ) = 7 x + 4 3 ​ . Tentukan ( f ∘ g ) − 1 ( x ) !

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