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Let f(x)=(9x)/(25)+c, c gt 0. If the cur...

Let `f(x)=(9x)/(25)+c, c gt 0`. If the curve `y=f^(-1)(x)` passes through `((1)/(4), -(5)/(4))` and g(x) is the antiderivative of `f^(-1)(x)` such that `g(0)=(5)/(2)`, then the value of `[g(1)]` is, (where [.] represents the greatest integer function)

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