Thread: by finding inverse of the function, solve the equation

I don't get how can we solve an equation by finding the inverse of that function. What has the inverse of that function got to do with solving the equation?

Function is:

f(x) = (x + 3) / (x -5)

Equation is:

(x+3) / (x-5) = 2

Please help ...

Originally Posted by struck

I don't get how can we solve an equation by finding the inverse of that function. What has the inverse of that function got to do with solving the equation?

Function is:

f(x) = (x + 3) / (x -5)

Equation is:

(x+3) / (x-5) = 2

Please help ...

So you want to solve f(x) = 2.

Apply the inverse function to both sides:

.

But .

Therefore .

So the solution to is .

You know how to find the inverse of ? (No? This thread here might give you some clues ......)