Page 1 :
91. Let f: RR: f(x) =~’, then fis:, , , , (a) One-one onto (b) One-one, into, , (c) Many-one, onto (d) Many-one into, 92. Let A = R —{3} and B = R -{1}, then, , YA ss BUG eee, , x-3, , (a) Many-one, into (b) Many-one, onto, , (c) One-one, into (d) One-one, onto, 93. The function f: R > R: f(x) = cos x is, , (a) One-one, into (b) One-one, onto, , (c) Many-one, into (d) Many-one, onto, , 94. If f(x) = x2 — 1 and g(x) = Gx + 1), then, (g ory x is;, (a) 9x° + 6x (b) 3x ny, (6) x31 (d)\Bx7/42, , 95. If f, g: R > R are defined respectively by fx) = =x +, 3x + I, nS = 2x —3, then (fo g) (x) is:, (a) Ax 6x 1 (b) Ax” + 6x -3, (c) Ax? + 4x —1 (d) None of these, , 96. If fG@) =a _x')!" where a > 0 andne N, CG, , f (x) 1s:, , (a) a (b) x, (Cex (d) a”, 97. Which of the followine t functions from z to itself are, bijections?, @f@ar |b) fG)=x+?, , (Cc) f(x) = 2a tal (d) f(x) =x +X, 98. Letf: R— Rbea function defined by f (x) = cos (Sx +, , , , 2), then f is:, , (a) Injective (b) Surjective, , (c) Bijective (d) None of these, 99. If f(x) = ate ther i, , Ofio-2 ) OW fa@- F@), , © fof@=~ Of x= -Bh@, 100. If f(x) = 2%, then f (0) : f(1), f(2) are in, , , , , , (a) AP (b) GP, (C) Ler: (d) None of these, 101. If f(x) = x , then f (2x) is:, (e+ 3 f(x) +1, ys o), 3 f (x) +3 f(x) 43, () =~ dy) EY,, fix 4 Daa a, 102. Let f:R :, ee J: RR be defined by f(x) = 3x4, then f~! (x), © (b)' = ay, (Cc) 3x eA 3, , (d) None of these