Pertanyaan

Invers dari fungsi f ( x ) = 3 x + 8 2 x − 7 , x  = − 3 8 adalah f − 1 ( x ) = ...

Invers dari fungsi $f (x) = \frac{2 x - 7}{3 x + 8}, x \neq = - \frac{8}{3}$ adalah $f^{- 1} (x) = ...$

G. Albiah

Master Teacher

Mahasiswa/Alumni Universitas Galuh Ciamis

Jawaban terverifikasi

Jawaban

invers dari fungsi adalah .

invers dari fungsi $f left parenthesis x right parenthesis equals fraction numerator 2 x minus 7 over denominator 3 x plus 8 end fraction comma space x not equal to negative 8 over 3$ adalah $table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell f to the power of negative 1 end exponent left parenthesis x right parenthesis end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator negative 8 y minus 7 over denominator 3 y minus 2 end fraction end cell end table$ .

Pembahasan

Jadi, invers dari fungsi adalah .

$table attributes columnalign right center left columnspacing 0px end attributes row cell f left parenthesis x right parenthesis end cell equals cell fraction numerator 2 x minus 7 over denominator 3 x plus 8 end fraction end cell row y equals cell fraction numerator 2 x minus 7 over denominator 3 x plus 8 end fraction end cell row cell y left parenthesis 3 x plus 8 right parenthesis end cell equals cell 2 x minus 7 end cell row cell 3 x y plus 8 y end cell equals cell 2 x minus 7 end cell row cell 3 x y minus 2 x end cell equals cell negative 8 y minus 7 end cell row cell x left parenthesis 3 y minus 2 right parenthesis end cell equals cell negative 8 y minus 7 end cell row x equals cell fraction numerator negative 8 y minus 7 over denominator 3 y minus 2 end fraction end cell row cell f to the power of negative 1 end exponent left parenthesis x right parenthesis end cell equals cell fraction numerator negative 8 y minus 7 over denominator 3 y minus 2 end fraction end cell end table$

Jadi, invers dari fungsi $f left parenthesis x right parenthesis equals fraction numerator 2 x minus 7 over denominator 3 x plus 8 end fraction comma space x not equal to negative 8 over 3$ adalah $table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell f to the power of negative 1 end exponent left parenthesis x right parenthesis end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator negative 8 y minus 7 over denominator 3 y minus 2 end fraction end cell end table$ .