Functional Inequality

Algebra Level 4

Let f:RRf:R→R be a function such that f(x+19)f(x)+19f(x+19)≤f(x)+19 and f(x+94)f(x)+94f(x+94)≥f(x)+94 for all real xx.Find the value of f(625)f(0)f(25)f(0)\sqrt{\frac{f(625)-f(0)}{f(25)-f(0)}}

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