Pertanyaan

Diketahui f ( x ) = 3 x + 5 − 2 x + 1 ; x  = − 3 5 . Tentukan f − 1 ( x ) .

Diketahui $f (x) = \frac{- 2 x + 1}{3 x + 5}; x \neq = - \frac{5}{3}$ . Tentukan $f^{- 1} (x)$ .

K. Putri

Master Teacher

Mahasiswa/Alumni Universitas Pendidikan Ganesha

Jawaban terverifikasi

Jawaban

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$begin mathsize 14px style f to the power of negative 1 end exponent open parentheses x close parentheses equals fraction numerator 1 minus 5 x over denominator 3 x plus 2 end fraction end style$ .

Pembahasan

Sehingga, .

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row y equals cell f open parentheses x close parentheses end cell row y equals cell fraction numerator negative 2 x plus 1 over denominator 3 x plus 5 end fraction end cell row cell 3 x y plus 5 y end cell equals cell negative 2 x plus 1 end cell row cell 3 x y plus 2 x end cell equals cell 1 minus 5 y end cell row cell x left parenthesis 3 y plus 2 right parenthesis end cell equals cell 1 minus 5 y end cell row x equals cell fraction numerator 1 minus 5 y over denominator 3 y plus 2 end fraction end cell row blank left right double arrow cell f to the power of negative 1 end exponent open parentheses x close parentheses equals fraction numerator 1 minus 5 x over denominator 3 x plus 2 end fraction end cell end table end style$

Sehingga, $begin mathsize 14px style f to the power of negative 1 end exponent open parentheses x close parentheses equals fraction numerator 1 minus 5 x over denominator 3 x plus 2 end fraction end style$ .