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HomeCAT PYQsCAT 2022 Slot 2 Question PaperSuppose for all integers x, there are two functions f a…
CAT 2022 · Slot 2Quantitative AbilityFunctions, Graphs and StatisticsHARD+3 / −1TITA

Suppose for all integers x, there are two functions f and g such that f(x)+f(x−1)−1=0f(x) + f (x - 1) - 1 = 0f(x)+f(x−1)−1=0 and g(x)=x2g(x ) = x^{2}g(x)=x2. If f(x2−x)=5f\left(x^{2} - x \right) = 5f(x2−x)=5, then the value of the sum f(g(5)) + g(f(5)) is

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