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Show that the functions f(x)=x^(2)-x+1, ...

Show that the functions `f(x)=x^(2)-x+1, x ge 1/2 and phi(x)=1/2+sqrt(x-3/4)` and mutually inverse and solve the equation `x^(2)-x+1=1/2 +sqrt(x-3/4)`.

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