Question

funçao inversa y=x+5/2x-3

Answer 1

y = x +(5/2)x -3
x = y + (5/2)y - 3
2x = + 2y + 5y - 6
7y = 2x+ 6
y = (2/7)x + 6/7
Logo: f⁻1(x) = (2/7)x + 6/7

Answer 2

 y =  x + 5    , substitui x por y e vice versa 
       2x - 3

x = y + 5 ==> x (2y - 3) = y + 5
     2y - 3

2xy - 3x = y + 5 ==> 2xy - y = 3x + 5

y( 2x - 1) = 3x + 5

y^-1 =  3x + 5
             2x - 1