SOLUTION: Trying to find the inverse of this function and I am not having good luck. Could you advise? For the given function f(x), I am trying to find f^-1(x) f(x)=-3/4x+6. I start by

Question 1000732: Trying to find the inverse of this function and I am not having good luck. Could you advise?
For the given function f(x), I am trying to find f^-1(x)
f(x)=-3/4x+6. I start by replacing f(x) with y (y=-3/4x+6) then I interchange the x and y (x=-3/4y+6) from here, I think I am supposed to multiply all terms by 4 (4*x=-3/4x*4+6*4) which would give me 4x=-3y+24. Here is where I need direction. Should I subtract x from both sides? or should I subtract -3y+24 from both sides?

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
f(x)= (-3/4)x+6
----
1st:: Interchange x and y to get:
x = (-3/4)y + 6
-----
2nd:: Solve for "y":
y = (x-6)/(-3/4)
----
y = (-4/3)(x-6)
----
y = (-4/3)x + 8
-----
Cheers,
Stan H.
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