Let g´ (x) > 0 and f ’ (x) < 0, x ∈ R, then

Mathematics · JEE Main · NTA Exams — Limit, Continuity and Differentiability

1. g ( f (x +1)) > g ( f (x – 1))
2. f (g (x–1)) > f (g (x + 1))
3. g (f (x +1)) < g ( f (x – 1))
4. g (g (x + 1)) < g (g (x – 1))

Answer

(B) f ( g (x–1)) > f ( g (x + 1)), (C) g ( f (x +1)) g ( f (x – 1))

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