See image — AITS & Test Series Chemistry Question

💡 Solution & Explanation

Domain of f is  and since sin x and cos x repeats its value f  is not injective. Also, 2 3sin 4cos 15 0 log 1 10 x x             0,1 f x    f x is not surjective. Now   2 2 0 0,1 t at a t      AITS-CRT-IV (Paper-1)-PCM(Sol.)-JEE(Advanced)/20 FIITJEE Ltd., FIITJEE House, 29-A, Kalu Sarai, Sarvapriya Vihar, New Delhi -110016, Ph 46106000, 26569493, Fax 26513942 website: www.fiitjee.com 9   0 0 & 1 0 f f      1,0 a   Now,     2 min 2 1 2 sin 2 g x g x x   