Question

let y=f(x)=(3x+7)/(x-2). find the inverse function.l

Answer 1

solve for x as a function of y: x=f(y)

Answer 2

y =(3x+7)/(x-2) ; multiply off the (x-2)

y(x-2) = 3x+7 ; exand to get to the x part

yx -2y = 3x + 7 ; -yx and -7

-2y-7 = 3x -yx ; factor out the x

-2y-7 = x(3-y) ; divide out the (3-y)


-2y-7
----- = x ; simplify as wented
3-y