If is the greatest integer function and is the modulus function

MATHEMATICS · Single correct · AoPS · Mathematics · Special Functions · Special Functions

Problem

If ff is the greatest integer function and gg is the modulus function, then (g∘f)(−53)−(f∘g)(−53)=(g\circ f)\left(-\frac{5}{3}\right)-(f\circ g)\left(-\frac{5}{3}\right)= (a) 1 (b) -1 (c) 2 (d) 4

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