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.

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

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...

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

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

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Re: finding an inverse of a function