Pertanyaan

Diberikan g ( x ) = 3 x − 13 2 x + 8 ; x  = 3 13 . Hitunglah g − 1 ( − 16 ) !

Diberikan $g (x) = \frac{2 x + 8}{3 x - 13}$ ; $x \neq = \frac{13}{3}$ . Hitunglah $g^{- 1} (- 16)$ !

R. Diah

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Pembahasan

$begin mathsize 14px style g left parenthesis x right parenthesis equals fraction numerator 2 x plus 8 over denominator 3 x minus 13 end fraction space semicolon space x not equal to 13 over 3 y equals fraction numerator 2 x plus 8 over denominator 3 x minus 13 end fraction y left parenthesis 3 x minus 13 right parenthesis equals 2 x plus 8 3 x y minus 13 y equals 2 x plus 8 3 x y minus 2 x equals 8 plus 13 y x left parenthesis 3 y minus 2 right parenthesis equals 8 plus 13 y x equals fraction numerator 8 plus 13 y over denominator left parenthesis 3 y minus 2 right parenthesis end fraction space semicolon space y not equal to 2 over 3 g to the power of negative 1 end exponent left parenthesis x right parenthesis equals fraction numerator 8 plus 13 x over denominator left parenthesis 3 x minus 2 right parenthesis end fraction space semicolon space x not equal to 2 over 3 g to the power of negative 1 end exponent left parenthesis negative 16 right parenthesis equals fraction numerator 8 plus 13 left parenthesis negative 16 right parenthesis over denominator left parenthesis 3 left parenthesis negative 16 right parenthesis minus 2 right parenthesis end fraction g to the power of negative 1 end exponent left parenthesis negative 16 right parenthesis equals fraction numerator negative 200 over denominator negative 50 end fraction g to the power of negative 1 end exponent left parenthesis negative 16 right parenthesis equals 4 end style$

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