# inverse funtion domain

• Nov 5th 2006, 12:26 PM
imthatgirl
inverse funtion domain
find the inverse of f(x)= 3x²/ x²+1. what is the domain of the inverse and what must be done to ensure that the inverse is a function.

i found that the inverse function is ±(square root of) x/3-x

can anyone help me wiht the rest?
• Nov 5th 2006, 01:06 PM
ThePerfectHacker
Quote:

Originally Posted by imthatgirl
find the inverse of f(x)= 3x²/ x²+1. what is the domain of the inverse and what must be done to ensure that the inverse is a function.

i found that the inverse function is ±(square root of) x/3-x

can anyone help me wiht the rest?

First this function does not have an inverse for all real numbers. However if you restrict the domoanin then it does, $x\geq 0$. The range of the inverse function is the same as the domain of the original map.