# Thread: finding an inverse of a function

1. ## finding an inverse of a function

I'm having problems finding the inverse of this specific function:

sqrt(x) / (sqrt(x) - 3)

I've been able to do other inverses that are simpler like x^4 and what not but I'm stumped on this as the answer in the book is nowhere near what I am getting.

2. ## Re: finding an inverse of a function

Originally Posted by deltemis
I'm having problems finding the inverse of this specific function:

sqrt(x) / (sqrt(x) - 3)

I've been able to do other inverses that are simpler like x^4 and what not but I'm stumped on this as the answer in the book is nowhere near what I am getting.
deleted

3. ## Re: finding an inverse of a function

Originally Posted by deltemis
I'm having problems finding the inverse of this specific function:

sqrt(x) / (sqrt(x) - 3)

I've been able to do other inverses that are simpler like x^4 and what not but I'm stumped on this as the answer in the book is nowhere near what I am getting.
I'd probably start by simplifying this function first...

\displaystyle \displaystyle \begin{align*} \frac{\sqrt{x}}{\sqrt{x} - 3} &= \frac{\sqrt{x} - 3 + 3}{\sqrt{x} - 3} \\ &= 1 + \frac{3}{\sqrt{x} - 3} \end{align*}

This should be MUCH easier to find the inverse of...