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Discrete MathematicsIf f(x) = \cos x and g(x) = x^3 then (f \circ g)(x) is (i) (\cos x)^3 (ii) \cos 3x (iii) x^{(\cos x)^3} (iv) \cos x^320232mDiscrete Mathematicsa) Let A = B = \{x | -1 \leq x \leq 1\} for each of the following functions state where it is injective, surjective or bijective i) g(x) = \sin \pi x ii) h(x) = \frac{2x}{3}20237mHUMAN RESOURCE DEVELOPMENT AND ORGANIZATIONAL BEHAVIOURList any two functions of a trade union.20222mDesign and Analysis of Algorithms Solve the following recurrence by successive substitution method: f(1) = 1 \quad \text{if } n=1 f(n) = 3f(n/2) + 6 \quad \text{if } n > 120227m