# finding an inverse of a function

• January 27th 2014, 07:39 PM
deltemis
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.
• January 27th 2014, 07:54 PM
romsek
Re: finding an inverse of a function
Quote:

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
• January 27th 2014, 08:43 PM
Prove It
Re: finding an inverse of a function
Quote:

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 \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...
• January 27th 2014, 09:05 PM
ibdutt
Re: finding an inverse of a function