The discussion revolves around determining whether two curves, defined by the functions f(x) and h(x), are perpendicular at their intersection point. The original poster has identified the curves and their intersection but is uncertain about the next steps after finding the derivatives.
The discussion is ongoing, with participants providing guidance on evaluating the derivatives and checking the slopes. There is a recognition of potential issues with the original functions as stated, which may affect the analysis.
There is a concern regarding the accuracy of the functions provided by the original poster, as they do not appear to intersect at the specified point. This raises questions about the setup of the problem and the assumptions made.
You could start by writing your functions correctly. Those functions as written do not intersect at x=2, and neither one has a value of -1 at x=2. I think you meant f(x)=(x-4)/x and h(x) = (x+2)/(x^2-4x). Don't make us read your mind, please.pisces93 said:Two curves are perpendicular f(x)= x-4/x and h(x)= x+2/x^2-4x intersect at (2,-1). How would i find if they are perpendicular i first found the derivative of the equations by using the quotient rule but i do not know what to do next.