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Pertanyaan

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

Jika diketahui fungsi =...

  1. fraction numerator 6 x minus 1 over denominator 18 x minus 8 end fraction

  2. fraction numerator 6 x minus 1 over denominator 18 plus 8 end fraction

  3. fraction numerator 6 x plus 1 over denominator 18 x plus 10 end fraction

  4. fraction numerator 6 x plus 1 over denominator 18 x minus 10 end fraction

  5. fraction numerator 6 x minus 1 over denominator 18 x minus 10 end fraction

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S. Nur

Master Teacher

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Pembahasan

Penyelesaian:

Penyelesaian:

f left parenthesis x right parenthesis equals fraction numerator x plus 2 over denominator 3 x minus 1 end fraction comma space g left parenthesis x right parenthesis equals 2 x squared plus 5 comma space h left parenthesis x right parenthesis equals square root of 3 x minus 4 end root  left parenthesis f ring operator g ring operator h right parenthesis left parenthesis x right parenthesis equals left parenthesis f ring operator left parenthesis g ring operator h right parenthesis right parenthesis left parenthesis x right parenthesis    m i s a l space left parenthesis g ring operator h right parenthesis left parenthesis x right parenthesis equals q left parenthesis x right parenthesis  left parenthesis g ring operator h right parenthesis left parenthesis x right parenthesis equals g left parenthesis h left parenthesis x right parenthesis right parenthesis  equals g left parenthesis square root of 3 x minus 4 end root right parenthesis  equals 2 left parenthesis square root of 3 x minus 4 end root right parenthesis squared plus 5  equals 2 left parenthesis 3 x minus 4 right parenthesis plus 5  equals 6 x minus 8 plus 5 equals 6 x minus 3    q left parenthesis x right parenthesis equals 6 x minus 3  left parenthesis f ring operator g ring operator h right parenthesis left parenthesis x right parenthesis equals left parenthesis f ring operator g right parenthesis left parenthesis x right parenthesis  equals f left parenthesis 6 x minus 3 right parenthesis  equals fraction numerator 6 x minus 3 plus 2 over denominator 3 left parenthesis 6 x minus 3 right parenthesis minus 1 end fraction  equals fraction numerator 6 x minus 1 over denominator 18 x minus 9 minus 1 end fraction equals fraction numerator 6 x minus 1 over denominator 18 x minus 10 end fraction

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Jika f( x) = 4 - 2 x , g( x) = 3 x + 6, dan h( x) = 2 - 4 x dengan x ∈ R , maka nilai x yang memenuhi adalah ....

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