Posted by RERE on Wednesday, February 10, 2010 at 10:11am.
Pretty easy. Use the fact that the product of the first derivatives of linear functions and their perpendiculars respectively are always -1.
This is:
m'=-1/(1/2)=-2
Since we can choose an arbitrary function with the imposed properties, it suffices to take
g(x)=-2*x
q.e.d.
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