Pertanyaan

Jika f ( x ) = 4 x + 5 2 x − 1 , maka f − 1 ( x ) = ...

Jika $f (x) = \frac{2 x - 1}{4 x + 5}$ , maka $f^{- 1} (x) = ...$

$begin mathsize 14px style fraction numerator 5 x plus 1 over denominator 2 minus 4 x end fraction end style$
$begin mathsize 14px style fraction numerator 1 minus 5 x over denominator 2 minus 4 x end fraction end style$
$begin mathsize 14px style fraction numerator 5 x plus 1 over denominator 2 x minus 4 end fraction end style$
$begin mathsize 14px style fraction numerator 1 minus 5 x over denominator 4 x minus 2 end fraction end style$
$begin mathsize 14px style fraction numerator 5 x minus 1 over denominator negative 2 x plus 4 end fraction end style$

I. Sutiawan

Master Teacher

Mahasiswa/Alumni Universitas Pasundan

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah A

Pembahasan

Jadi, jawaban yang tepat adalah A

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row y equals cell fraction numerator 2 x minus 1 over denominator 4 x plus 5 end fraction end cell row cell y left parenthesis 4 x plus 5 right parenthesis end cell equals cell 2 x minus 1 end cell row cell 4 x y plus 5 y end cell equals cell 2 x minus 1 end cell row cell 4 x y minus 2 x end cell equals cell negative 5 y minus 1 end cell row cell x left parenthesis 4 y minus 2 right parenthesis end cell equals cell negative 5 y minus 1 end cell row x equals cell fraction numerator negative 5 y minus 1 over denominator 4 y minus 2 end fraction cross times fraction numerator negative 1 over denominator negative 1 end fraction end cell row x equals cell fraction numerator 5 y plus 1 over denominator 2 minus 4 y end fraction end cell row cell f to the power of negative 1 end exponent left parenthesis x right parenthesis end cell equals cell fraction numerator 5 x plus 1 over denominator 2 minus 4 x end fraction end cell end table end style$

Jadi, jawaban yang tepat adalah A

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