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Consider the function f(x)a n d\ g(x)...

Consider the function `f(x)a n d\ g(x)` such that `f(x)=(x^3)/2+1-x\ int_0^xg(t)dt\ \ a n d\ \ g(x)=x-\ int_0^1f(t)dt` Both `f(x)a n d\ g(x)` are defined from `R->R` Which one of the following holds good for `f(x)?` `f(x)` is bounded `f(x)` has exactly one maxima and one minima `f(x)` has a maxima but no minima `f(x)` has a minima but no maxima

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