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Black Book Advanced Problems in MathematicsMathematicsFunctions

Let f(x) = cases 1 + x; & 0 x 2 3 - x; & 2 < x 3 cases ; g(x) = f(f(x)) : | Column-I | Column-II | | :--- | :--- | | (A) If domain of g(x) is [a, b] then b - a is | (P) 1 | | (B) If range of g(x) is [c, d] then c + d is | (Q) 2 | | (C) f(f(f(2))) + f(f(f(3))) , is | (R) 3 | | (D) m = maximum value of g(x) then 2m - 2 is : | (S) 4 |

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