Pertanyaan

Diketahui fungsi g ( x ) = 2 x − 3 x + 1 , x  = 2 3 . Invers fungsi g adalah g − 1 ( x ) = ...

Diketahui fungsi $g (x) = \frac{x + 1}{2 x - 3}, x \neq = \frac{3}{2} . Invers fungsi g adalah g^{- 1} (x) = ...$

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Klaim

A. Septianingsih

Master Teacher

Mahasiswa/Alumni Universitas Gadjah Mada

Jawaban terverifikasi

Pembahasan

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell g left parenthesis x right parenthesis end cell equals cell fraction numerator x plus 1 over denominator 2 x minus 3 end fraction end cell row y equals cell fraction numerator x plus 1 over denominator 2 x minus 3 end fraction end cell row cell 2 x y minus 3 y end cell equals cell x plus 1 end cell row cell 2 x y minus x end cell equals cell 3 y plus 1 end cell row cell open parentheses 2 y minus 1 close parentheses x end cell equals cell 3 y plus 1 end cell row x equals cell fraction numerator 3 y plus 1 over denominator 2 y minus 1 end fraction end cell row blank blank blank row cell Maka space g to the power of negative 1 end exponent left parenthesis x right parenthesis end cell equals cell fraction numerator 3 x plus 1 over denominator 2 y minus 1 end fraction end cell end table end style$