Pertanyaan

Fungsi f : R → R ditentukan oleh f ( x ) = 2 x − 1 3 x + 2 ; x  = 2 1 , maka f − 1 ( x ) = ...

Fungsi $f : R \to R$ ditentukan oleh $f (x) = \frac{3 x + 2}{2 x - 1}; x \neq = \frac{1}{2}$ , maka $f^{- 1} (x) =$ ...

$f open parentheses x close parentheses equals fraction numerator x minus 2 over denominator 2 x plus 3 end fraction space semicolon space x not equal to negative 3 over 2$
$f open parentheses x close parentheses equals fraction numerator x minus 2 over denominator 2 x plus 3 end fraction space semicolon space x not equal to 3 over 2$
$f open parentheses x close parentheses equals fraction numerator x plus 2 over denominator 3 minus 2 x end fraction space semicolon space x not equal to 3 over 2$
$f open parentheses x close parentheses equals fraction numerator x plus 2 over denominator 2 x minus 3 end fraction space semicolon space x not equal to 3 over 2$
$f open parentheses x close parentheses equals fraction numerator x plus 2 over denominator 2 x plus 3 end fraction space semicolon space x not equal to negative 3 over 2$

I. Sutiawan

Master Teacher

Mahasiswa/Alumni Universitas Pasundan

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah D

Pembahasan

Diketahui , maka: Jadi, jawaban yang tepat adalah D

Diketahui $f left parenthesis x right parenthesis equals fraction numerator 3 x plus 2 over denominator 2 x minus 1 end fraction semicolon space x not equal to 1 half$ , maka:

$table attributes columnalign right center left columnspacing 0px end attributes row cell f left parenthesis x right parenthesis end cell equals cell fraction numerator 3 x plus 2 over denominator 2 x minus 1 end fraction end cell row y equals cell fraction numerator 3 x plus 2 over denominator 2 x minus 1 end fraction end cell row cell y left parenthesis 2 x minus 1 right parenthesis end cell equals cell 3 x plus 2 end cell row cell 2 x y minus y end cell equals cell 3 x plus 2 end cell row cell 2 x y minus 3 x end cell equals cell y plus 2 end cell row cell x left parenthesis 2 y minus 3 right parenthesis end cell equals cell y plus 2 end cell row x equals cell fraction numerator y plus 2 over denominator 2 y minus 3 end fraction end cell row cell f to the power of negative 1 end exponent left parenthesis x right parenthesis end cell equals cell fraction numerator x plus 2 over denominator 2 x minus 3 end fraction semicolon space x not equal to 3 over 2 end cell end table$

Jadi, jawaban yang tepat adalah D