Question

Função inversa

a) y = 2x - 3 / 3x + 4

Answer 1

$y = \frac{2x-3}{3x+4}$
$(3x+4)y = 2x -3$
$3xy + 4y = 2x-3$
$3xy-2x=-4y-3$
$-2x=-4y-3-3xy$
$x = \frac{-4y -3-3xy}{-2}$

Agora trocamos x por y:

$y = \frac{-4x -3-3xy}{-2}$

Answer 2

y = 2x - 3
      3x + 4

x = 2y -  3  ==> x(3y + 4 ) = 2y - 3
      3y + 4

3yx + 4x = 2y - 3 ==> 3yx - 2y = - 4x - 3

y(3x - 2 ) = - 4x - 3

  y = - 4x - 3, com x ≠ 2/3
          3x - 2