Pertanyaan

Jika diketahui f ( x ) = x − 7 3 x + 5 maka f − 1 ( x ) ....

Jika diketahui $f (x) = \frac{3 x + 5}{x - 7} maka f^{- 1} (x) ....$

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Klaim

A. Septianingsih

Master Teacher

Mahasiswa/Alumni Universitas Gadjah Mada

Jawaban terverifikasi

Pembahasan

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell straight f left parenthesis straight x right parenthesis end cell equals cell straight y equals fraction numerator 3 straight x plus 5 over denominator straight x minus 7 end fraction end cell row cell straight y left parenthesis straight x minus 7 right parenthesis end cell equals cell 3 straight x plus 5 end cell row cell xy minus 7 straight y end cell equals cell 3 straight x plus 5 end cell row cell xy minus 3 straight x end cell equals cell 7 straight y plus 5 end cell row cell straight x open parentheses straight y minus 3 close parentheses end cell equals cell 7 straight y plus 5 end cell row straight x equals cell fraction numerator 7 straight y plus 5 over denominator straight y minus 3 end fraction end cell row blank blank blank row cell Jadi space straight f to the power of negative 1 end exponent left parenthesis straight x right parenthesis end cell equals cell fraction numerator 7 straight x plus 5 over denominator straight x minus 3 end fraction end cell end table end style$