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Functions : Explain how it can be deduced that neither curve meets the line y = x, and hence determine the set of possible values of m.

F(x) = (mx +7)^1/2 where x >= -7/m and m is a positive constant. It is given that y = f(x) and y = f^-1 (x) do not meet. Explain how it can be deduced that neither curve meets the line y = x, and hence determine the set of possible values of m.

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For f(x) = (mx +7)^1/2 where x >= -7/m and m is a positive constant. It is given that y = f(x) and y = f^-1 (x) do not meet. It is deduced that neither curve meets the line y = x, and a set of possible values of m are determined. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

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