Jika K(x)=2x+93x+5, maka hasil dari invers fungsi K(x) adalah...

Jika K(x)=2x+93x+5, maka hasil dari invers fungsi...

Pertanyaan

Jika $K left parenthesis x right parenthesis equals fraction numerator 3 x plus 5 over denominator 2 x plus 9 end fraction$ , maka hasil dari invers fungsi $K(x)$ adalah...

$K to the power of negative 1 end exponent left parenthesis x right parenthesis equals fraction numerator negative 3 x plus 5 over denominator 2 x minus 9 end fraction$
$K to the power of negative 1 end exponent left parenthesis x right parenthesis equals fraction numerator negative 3 x plus 5 over denominator 2 x plus 9 end fraction$
$K to the power of negative 1 end exponent left parenthesis x right parenthesis equals fraction numerator 9 x plus 5 over denominator 2 x plus 3 end fraction$
$K to the power of negative 1 end exponent left parenthesis x right parenthesis equals fraction numerator 9 x minus 5 over denominator 2 x minus 3 end fraction$
$K to the power of negative 1 end exponent left parenthesis x right parenthesis equals fraction numerator negative 9 x plus 5 over denominator 2 x minus 3 end fraction$

Z. Apriani

Master Teacher

Mahasiswa/Alumni Institut Pertanian Bogor

Jawaban terverifikasi

Jawaban

jawaban yang benar adalah E.

Pembahasan

Diketahui $K left parenthesis x right parenthesis equals fraction numerator 3 x plus 5 over denominator 2 x plus 9 end fraction$ , dengan menggunakan konsep invers fungsi, maka hasil dari invers fungsi :

Misalkan, K left parenthesis x right parenthesis equals y

$table attributes columnalign right center left columnspacing 0px end attributes row cell K left parenthesis x right parenthesis end cell equals cell fraction numerator 3 x plus 5 over denominator 2 x plus 9 end fraction end cell row y equals cell fraction numerator 3 x plus 5 over denominator 2 x plus 9 end fraction end cell row cell y left parenthesis 2 x plus 9 right parenthesis end cell equals cell 3 x plus 5 end cell row cell 2 x y plus 9 y end cell equals cell 3 x plus 5 end cell row cell 2 x y minus 3 x end cell equals cell 5 minus 9 y end cell row cell x left parenthesis 2 y minus 3 right parenthesis end cell equals cell 5 minus 9 y end cell row x equals cell fraction numerator 5 minus 9 y over denominator 2 y minus 3 end fraction end cell row cell K apostrophe left parenthesis x right parenthesis end cell equals cell fraction numerator 5 minus 9 x over denominator 2 x minus 3 end fraction end cell end table$

Oleh karena itu, jawaban yang benar adalah E.