Tentukan fungsi invers dari f(x)=2x−13x+4, x=21!

Pertanyaan

Tentukan fungsi invers dari $begin mathsize 14px style f open parentheses x close parentheses equals fraction numerator 3 x plus 4 over denominator 2 x minus 1 end fraction comma space x not equal to 1 half end style$ !

D. Entry

Master Teacher

Jawaban terverifikasi

Pembahasan

$begin mathsize 14px style f open parentheses x close parentheses equals fraction numerator 3 x plus 4 over denominator 2 x minus 1 end fraction comma space x not equal to 1 half end style$ misalkan maka sehingga

$table attributes columnalign right center left columnspacing 0px end attributes row cell f open parentheses x close parentheses end cell equals cell fraction numerator 3 x plus 4 over denominator 2 x minus 1 end fraction end cell row y equals cell fraction numerator 3 x plus 4 over denominator 2 x minus 1 end fraction end cell row cell 2 x y minus y end cell equals cell 3 x plus 4 end cell row cell 2 x y minus 3 x end cell equals cell 4 plus y end cell row cell x left parenthesis 2 y minus 3 right parenthesis end cell equals cell y plus 4 end cell row x equals cell fraction numerator y plus 4 over denominator 2 y minus 3 end fraction end cell row cell f apostrophe left parenthesis y right parenthesis end cell equals cell fraction numerator y plus 4 over denominator 2 y minus 3 end fraction end cell row cell f apostrophe left parenthesis x right parenthesis end cell equals cell fraction numerator x plus 4 over denominator 2 x minus 3 end fraction comma space x not equal to 3 over 2 end cell end table$