Determine the values of k such that the function f(x)=kx + 10 sin(x) has an inverse function.
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Determine the values of k such that the function f(x)=kx + 10 sin(x) has an inverse function.

[From: ] [author: ] [Date: 11-11-07] [Hit: ]
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Note that due to the horizontal line test, this is equivalent to finding the values of k for which f'(x) > or = 0 for all x, or for which f'(x) < or = 0 for all x.

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Actually, the question asks for two values which are (-infinity,-10] U [10,infinity)
Dr Kent's questions are pretty tough

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f '(x)=k+10cos(x)
0=k+10cos(x)
k=-10cos(x)
k>=10

make it a good day
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