# Homework Help: Help with showing work

1. Jan 13, 2009

### crm08

1. The problem statement, all variables and given/known data

The original problem asks for the inverse of f(x) = (1-sqrt(x))/(1+sqrt(x))
Report Post Edit/Delete Message

2. Relevant equations

3. The attempt at a solution

When I swap the variables and get to x = (1-sqrt(y))/(1+sqrt(y)), I am having problems showing the steps to get to my final answer, which I know by solving with my 89 is Y = (x-1)^2/(x+1)^2, could you help me with the steps in between.

2. Jan 13, 2009

### NoMoreExams

First solve for sqrt(y), can you do that?

3. Jan 13, 2009

### crm08

having trouble solving for sqrt(y), I know I'll have to do the subtraction before I can square both sides by looking at the answer, that's what is throwing me off, should I be trying to split the fraction into multiple fractions first?

4. Jan 13, 2009

### NoMoreExams

Multiply both sides by 1 + sqrt(y), then move everything with sqrt(y) on one side and everything without on the other, what do you get?

5. Jan 13, 2009

### crm08

i got (x)(sqrt(y) + sqrt(y) = 1 - x, or should I not be distributing the x?

6. Jan 13, 2009

### crm08

never mind I see it now, thanks for your help

7. Jan 13, 2009

OK Good