SOLUTION: whats the inverse of f(x)=2x+4/3x-4 thank you so much and could you please show the working i got f-1(x)=3x-4x+4 but i think its wrong

Algebra ->  Functions -> SOLUTION: whats the inverse of f(x)=2x+4/3x-4 thank you so much and could you please show the working i got f-1(x)=3x-4x+4 but i think its wrong       Log On


   

Question 931581: whats the inverse of
f(x)=2x+4/3x-4
thank you so much and could you please show the working
i got f-1(x)=3x-4x+4 but i think its wrong

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
f(x)=2x+4/3x-4
y+=+%282x%2B4%29%2F%283x-4%29
........
x+=+%282y%2B4%29%2F%283y-4%29
x(3y-4) = 2y + 4
3yx - 4x = 2y + 4
3yx - 2y = 4x+4
y(3x-2) = 4x + 4
.........
y = %284x%2B4%29%2F%283x-2%29
f%5E%28-1%29+=+%284x%2B4%29%2F%283x-2%29