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Interesting relationship between the graph of a function and the graph of its inverse : There is one last topic that we have to address quickly before we leave this section. There is interesting relationship among the graph of a function and the graph of its inverse.
Following is the graph of the function and inverse of the above examples.
we can illustrates that the graph of the inverse is a reflection of the actual function regarding the line y = x . It will always be the case with the graphs of a function & its inverse.
2x+3y=1, 5x+7y=3.
1. For a function f : Z → Z, let R be the relation on Z given by xRy iff f(x) = f(y). (a) Prove that R is an equivalence relation on Z. (b) If for every x ? Z, the equivalenc
Determine y′ for xy = 1 . Solution : There are in fact two solution methods for this problem. Solution 1: It is the simple way of doing the problem. Just solve for y to
(3x+2)^2 d^2y/dx^2+3(3x+2)dy/dx-36y=3x^2+4x+1
divid
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