Pertanyaan

Fungsi , Tentukan f − 1 ( x ) !

Fungsi $begin mathsize 14px style f open parentheses x close parentheses equals fraction numerator 2 x minus 1 over denominator 3 x plus 4 end fraction comma blank x not equal to negative 4 over 3 end style$ , Tentukan $f^{- 1} (x)$ ! $\;$

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M. Alfi

Master Teacher

Mahasiswa/Alumni Universitas Negeri Semarang

Jawaban terverifikasi

Pembahasan

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row y equals cell f open parentheses x close parentheses equals fraction numerator 2 x minus 1 over denominator 3 x plus 4 end fraction end cell row cell y open parentheses 3 x plus 4 close parentheses end cell equals cell 2 x minus 1 end cell row cell 3 x y plus 4 y end cell equals cell 2 x minus 1 end cell row cell 3 x y minus 2 x end cell equals cell negative 4 y minus 1 end cell row cell x left parenthesis 3 y minus 2 right parenthesis end cell equals cell negative 4 y minus 1 end cell row x equals cell fraction numerator negative 4 y minus 1 over denominator 3 y minus 2 end fraction equals fraction numerator 4 y plus 1 over denominator 2 minus 3 y end fraction end cell row cell f open parentheses y close parentheses end cell equals cell fraction numerator 4 y plus 1 over denominator 2 minus 3 y end fraction end cell row cell f to the power of negative 1 end exponent open parentheses x close parentheses end cell equals cell fraction numerator 4 x plus 1 over denominator 2 minus 3 x end fraction end cell end table end style$