1) Both A and R are true and R is the correct If f: [-6, 6]R is defined by f(x)=x - 3 explanation of A 2) Both A and R are true but R is not correct 1. explanation of A 3) A is true but R is flase 4) A is false but R is true rER, then %3D (fofof) (-1) + (fofo)(0) + (fofof)(1) = 1) f(4/2) 2) f(3/2) 3) f(2/2)4) f(/2) 8. If a? + b2 + c = 3 then the range of ab+bc+ca is Let X and Y be subsets of R, the set of all real numbers. The function f: XY defined by Ar) = x for xre X is one-one but not onto if 2. 1) [-1/2,1] 2) [-1/2, ) 2) X=R, Y=R+ -3 1) X=Y=R* 3) ,3 4) [3, ) 4) X=Y=R nismob 3) X=R*, Y=R 9. Let f and g be two real valued functions with If f(X) = x-7 and g(x) = f(f(x)) then for 9 < x < 12, g(x) = %3D %3D 3. %3D domain A = {-2, 0, 2}. If f = {(-2, 4), (0, 6), (2, 8)} and g = {(-2, 1), (0, 3), (2, 5)}, then 1) x 14 2) x 3) 14 - x 4) 7 x %3D 10. Let f:(-1, 1) B , be a function defined by (2f), (3g) 6 (0)%= (3g) (2f) f (x)= tan 2x -1 then f is both one-one 1-x? and onto when B is the interval 25 47 13 4). 12 1) 12 2) 103) - 12 12 4. If f: RR and g : RR are defined by TC 1) | 0, 2) TC 0, TT TC 3) TIONMON f is 4) 2 2 MG. 11. If f:C C such that f(z) = z zEC, then f(x) = 2x+3 and g(x) =x +7, then values of 2 2 x such that g(f(x))=8 are DUQ If f(x)= px+q and g(x)=rx+s and 1) 1, 2 2) -1, 2 3) -1, -2 4) 1, -2 5. 1) one-one 2) onto 3) bijection %3D 4) neither one one nor onto Ag(x)] = g[f(x)] = %3D 1) f(p) = g(q) 3) f(s)= g(q) 2-1 2) f(q)= g(q) 4) (r)= g(p) %3D %3D 12. If y = f(x) = , then f(y)=x gives k = x-k %3D %3D %3D %3D 1) 2 2) 2 3) 1 4) 1 1 6. If f: RR is defined by f(x) = x - [x] - for 2 Xe R where [x] is the greatest integer not 13. If fis an odd function and g is an even function, then fog is 1) even function 2) odd function exeeding x, then {xeR:f(x)= 2 1) Z, the set of all integers %3D 3) neither even nor odd 4) periodic function 2) N, the set of all natural numbers 14. If f(x) is a polynomial satisfying 3) , the empty set f(x). f(x)+ s; and f(3) = 28 then (4) = %3D 4) R 1 A : fx) = log x and g(x) = 3 log x are equal 4) 68 1) 63 2) 65 3) 67 functions et-e +2 R: Two functions f and g are said to be equal 15. The inverse of the function f (x)=- et +e* if their domains and codomains are equal and f(x) = g(x) x. is given by %3D