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CAT 2022 Functions — Previous Year Question

Paper

CAT 2022

Section

Quantitative

Topic

Functions

Difficulty

Hard

Question

CAT 2022

Slot-2

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

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