Pertanyaan

Jika diketahui f ( x ) = 4 x − 5 7 x − 12 , invers fungsi dari f(x) adalah...

Jika diketahui $f (x) = \frac{7 x - 12}{4 x - 5}$ , invers fungsi dari f(x) adalah...

$begin mathsize 14px style f to the power of negative 1 end exponent left parenthesis x right parenthesis equals fraction numerator 5 x plus 12 over denominator 4 x minus 7 end fraction comma space x not equal to 7 over 4 end style$
$begin mathsize 14px style f to the power of negative 1 end exponent left parenthesis x right parenthesis equals fraction numerator 12 x minus 5 over denominator 4 x minus 7 end fraction comma space x not equal to 7 over 4 end style$
$begin mathsize 14px style f to the power of negative 1 end exponent left parenthesis x right parenthesis equals fraction numerator 5 x minus 12 over denominator 4 x plus 7 end fraction comma space x not equal to negative 7 over 4 end style$
$size 14px f to the power of size 14px minus size 14px 1 end exponent size 14px left parenthesis size 14px x size 14px right parenthesis size 14px equals fraction numerator size 14px 5 size 14px x size 14px minus size 14px 12 over denominator size 14px 4 size 14px x size 14px minus size 14px 7 end fraction size 14px comma size 14px space size 14px x size 14px not equal to size 14px 7 over size 14px 4$
$begin mathsize 14px style f to the power of negative 1 end exponent left parenthesis x right parenthesis equals fraction numerator 4 x minus 12 over denominator 5 x plus 7 end fraction comma space x not equal to negative 7 over 5 end style$

H. Hermawan

Master Teacher

Mahasiswa/Alumni Universitas Lampung

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah D.

Pembahasan

Jadi, jawaban yang tepat adalah D.

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell f left parenthesis x right parenthesis end cell equals cell fraction numerator 7 x minus 12 over denominator 4 x minus 5 end fraction end cell row y equals cell fraction numerator 7 x minus 12 over denominator 4 x minus 5 end fraction end cell row cell 4 x y minus 5 y end cell equals cell 7 x minus 12 end cell row cell 4 x y minus 7 x end cell equals cell 5 y minus 12 end cell row cell x left parenthesis 4 y minus 7 right parenthesis end cell equals cell 5 y minus 12 end cell row x equals cell fraction numerator 5 y minus 12 over denominator 4 y minus 7 end fraction end cell row blank blank blank row cell f to the power of negative 1 end exponent left parenthesis x right parenthesis end cell equals cell fraction numerator 5 x minus 12 over denominator 4 x minus 7 end fraction end cell end table end style$

Jadi, jawaban yang tepat adalah D.