Find the domain of the function 

If the following f : R f  is defined by :




(i) f(2)      (ii)  f(4)         (iii) f(-1)     (iv) f (-3)

Let f(x) = 5x +3 and g(x) =   Find (i) (f+g)(x)    (ii) (f-g)(x)  (iii)

(fg) (x)  

67.

Let f and g be two functions defined by f(x) = 

find (i) f +g (ii)  g + f (iii) f - g  (iv) g  - f    (v) gg    (vi)  gf

The relation f is defined by      

and relation g is defined by 

Explain, why f is a function and g is not.

If the function g(x) = is differntiable, then the value of k+m is

• 2

• 16/5

• 10/3

• 10/3

If a ε R and the equation - 3(x-[x]2 + 2(x-[x] +a² = 0(where,[x] denotes the greatest integer ≤ x) has no  integral solution, then all possible value of  lie in the interval

• (-1,0) ∪ (0,1)

• (1,2)

• (-2,-1)

• (-∞,-2) ∪ (2, ∞)