# Homework Help: Solve equation |f^-1(x)|= 1+f^-1(x)

Tags:
1. Oct 16, 2017

### bunmohg

1. The problem statement, all variables and given/known data
f(x) = (2x-3)/(x-1)
Solve the equation |f^-1(x)|= 1+f^-1(x)

2. Relevant equations
I'm pretty sure f^1(x) = (-3+x)/(x-2)

3. The attempt at a solution
I am not sure what solve means. Do i need to plug in values?

2. Oct 16, 2017

### Staff: Mentor

No, that wouldn't be very productive unless you just happened to pick a value that works.

I believe the problem is asking you to find the value of x that makes the equation a true statement.
Also, yes, the inverse is $f^{-1}(x) = \frac {x - 3} {x - 2}$
Replace $f^{-1}(x)$ by this expression in the equation you're given and get x all by itself.

3. Oct 16, 2017

### Ray Vickson

Make life easier for yourself by letting $f^{-1}(x) = y$, so your equation is $|y| = 1 + y$. First figure out the value of $y$, then figure out what must be $x$ to give you $f^{-1}(x) = y$.

Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted