Pertanyaan

Jika diketahui g ( x ) = 2 x − 5 x + 4 ​ , maka ( f ∘ g ) ( x ) = 2 x − 5 x + 17 ​ maka f ( − 3 ) =...

Jika diketahui =...

  1. -9

  2. -8

  3. -7

  4. -6

  5. -5

A. Acfreelance

Master Teacher

Jawaban terverifikasi

Pembahasan

Penyelesaian:

Penyelesaian:

g left parenthesis x right parenthesis equals fraction numerator x plus 4 over denominator 2 x minus 5 end fraction  g to the power of negative 1 end exponent left parenthesis x right parenthesis equals fraction numerator 5 x plus 4 over denominator 2 x minus 1 end fraction  left parenthesis f ring operator g right parenthesis left parenthesis x right parenthesis equals fraction numerator x plus 17 over denominator 2 x minus 5 end fraction  f open parentheses fraction numerator x plus 4 over denominator 2 x minus 5 end fraction close parentheses equals fraction numerator x plus 17 over denominator 2 x minus 5 end fraction  f left parenthesis x right parenthesis equals fraction numerator begin display style fraction numerator 5 x plus 4 over denominator 2 x minus 1 end fraction end style plus 17 over denominator 2 open parentheses begin display style fraction numerator 5 x plus 4 over denominator 2 x minus 1 end fraction end style close parentheses equals 5 end fraction  f left parenthesis x right parenthesis equals fraction numerator begin display style fraction numerator 5 x plus 4 plus 17 left parenthesis 2 x minus 1 right parenthesis over denominator 2 x minus 1 end fraction end style over denominator begin display style fraction numerator 10 x plus 8 minus 5 left parenthesis 2 x minus 1 right parenthesis over denominator 2 x minus 1 end fraction end style end fraction  f left parenthesis x right parenthesis equals fraction numerator 5 x plus 34 x plus 4 minus 17 over denominator 2 x minus 1 end fraction. fraction numerator 2 x minus 1 over denominator 10 x minus 10 x plus 8 plus 5 end fraction  equals fraction numerator 39 x minus 13 over denominator 13 end fraction  f left parenthesis x right parenthesis equals 2 x minus 1  f left parenthesis negative 3 right parenthesis equals 2 left parenthesis negative 3 right parenthesis minus 1 equals negative 6 minus 1 equals negative 7

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Pertanyaan serupa

Jika diketahui fungsi g ( x ) = 5 x − 4 d an ( f ∘ g ) ( x ) = 5 x − 1 10 x − 9 ​ , maka f ( x ) = ...

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