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Diketahui g(x)=x+52x​,x=−5. Invers fungsi g(x) adalah g−1(x)=....

Pertanyaan

Diketahui g left parenthesis x right parenthesis equals fraction numerator 2 x over denominator x plus 5 end fraction comma x not equal to negative 5. Invers fungsi g(x) adalah g to the power of negative 1 end exponent left parenthesis x right parenthesis equals....

  1. fraction numerator 5 x over denominator x minus 2 end fraction semicolon x not equal to 2

  2. fraction numerator 5 x over denominator 2 minus x end fraction semicolon x not equal to 2

  3. fraction numerator 5 x over denominator x plus 2 end fraction semicolon x not equal to negative 2

  4. fraction numerator negative 5 x over denominator x plus 2 end fraction semicolon x not equal to negative 2

  5. fraction numerator 5 x over denominator negative x minus 2 end fraction semicolon x not equal to negative 2

A. Acfreelance

Master Teacher

Jawaban terverifikasi

Pembahasan

g open parentheses x close parentheses equals fraction numerator 2 x over denominator x plus 5 end fraction  g open parentheses x close parentheses x plus 5 g open parentheses x close parentheses equals 2 x  space g open parentheses x close parentheses x minus 2 x equals negative 5 g open parentheses x close parentheses  x open parentheses g open parentheses x close parentheses minus 2 close parentheses equals negative 5 g open parentheses x close parentheses  x equals fraction numerator negative 5 g open parentheses x close parentheses over denominator g open parentheses x close parentheses minus 2 end fraction  space g to the power of negative 1 end exponent open parentheses x close parentheses equals fraction numerator negative 5 x over denominator x minus 2 end fraction equals fraction numerator 5 x over denominator 2 minus x end fraction

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