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Tentukan fungsi invers dari f ( x ) = 2 x − 1 3 x + 4 , x  = 2 1 !

Tentukan fungsi invers dari $f (x) = \frac{3 x + 4}{2 x - 1}, x \neq = \frac{1}{2}$ !

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

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