Finding the Inverse of a Rational Function

mercuryman
Messages
6
Reaction score
0

Homework Statement



Find the inverse function of y= x/2 - 5/2x

Homework Equations





The Attempt at a Solution


I've tried to manipulate the equation to find x(y) without any sucsses.
 
Physics news on Phys.org
mercuryman said:

Homework Statement



Find the inverse function of y= x/2 - 5/2x

Homework Equations





The Attempt at a Solution


I've tried to manipulate the equation to find x(y) without any sucsses.

So you want to find the inverse of y = \frac{x}{2} - \frac{5}{2x}

Can you isolate for x here and have y and all other terms on the other side of the equation?
 

Thread 'Finding the nth roots of a complex number'

There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
View full post »

Similar threads

Finding inverses of two functions in Lambda Notation
Replies
3
Views
2K
Inverse of a multivariate function
Replies
12
Views
3K
Find the slope of the tangent line to the function's inverse
Replies
13
Views
4K
Equation involving inverse trigonometric function
Replies
17
Views
2K
Is It Possible to Invert a Homotopy?
Replies
5
Views
978
Derivative of Inverse Function
Replies
14
Views
2K
Purpose of the derivative of the inverse function
Replies
7
Views
1K
Area under an inverse trigonometric function
Replies
6
Views
2K
What is the Inverse Laplace Transform of e^(-sx^2/2)?
Replies
10
Views
2K
Verifying Solution for PDF to CDF and Inverse CDF Calculations
Replies
4
Views
2K

Hot Threads

Recent Insights

Back
Top