Diketahui Bila adalah invers dari f(x), =....

Pertanyaan

Diketahui $f open parentheses x close parentheses equals fraction numerator 3 x plus 4 over denominator 5 x minus 2 end fraction semicolon x not equal to 2 over 5.$ Bila $f to the power of negative 1 end exponent open parentheses x close parentheses$ adalah invers dari f(x), $f to the power of negative 1 end exponent open parentheses x close parentheses$ =....

$fraction numerator 3 x plus 5 over denominator 4 x minus 2 end fraction comma x not equal to 1 half$
$fraction numerator 3 x minus 4 over denominator 5 x plus 2 end fraction comma x not equal to negative 2 over 5$
$fraction numerator 2 x plus 4 over denominator 5 x minus 3 end fraction comma x not equal to 3 over 5$
$fraction numerator 5 x minus 3 over denominator 2 x plus 4 end fraction comma x not equal to negative 2$
$fraction numerator 5 x plus 3 over denominator 2 x minus 4 end fraction comma x not equal to 2$

Pembahasan:

$straight f open parentheses straight x close parentheses equals fraction numerator ax plus straight b over denominator cx plus straight d end fraction comma straight x not equal to negative straight d over straight c rightwards double arrow straight f to the power of negative 1 end exponent open parentheses straight x close parentheses equals fraction numerator negative dx plus straight b over denominator cx minus straight a end fraction comma straight space straight x not equal to straight a over straight c Jadi comma space straight f open parentheses straight x close parentheses equals fraction numerator 3 straight x plus 4 over denominator 5 straight x minus 2 end fraction comma straight x not equal to 2 over 5 rightwards double arrow straight f to the power of negative 1 end exponent open parentheses straight x close parentheses equals fraction numerator 2 straight x plus 4 over denominator 5 straight x minus 3 end fraction comma straight x not equal to 3 over 5$

Jawaban terverifikasi

Dijawab oleh:

A. Pujo

Mahasiswa/Alumni Universitas Putra Indonesia YPTK

Terakhir diupdate 20 Desember 2020