MCQs of Relations and Functions

Showing 41 to 50 out of 98 Questions

41.

Is f : R - {3} \to R - {1}, f (x) = \frac{x - 2}{x - 3},

then f is _____.

42.

Is f : R → R, f(x) = x -[x] then f is _____.

43.

If f : R \to R, f (x) = |x|, g : R \to R, g (x) = x^{2}

then. _____

44.

f : [- 1, 1] \to [- 1, 1], f (x) = x |x| is_____

45.

If f : R^{+} \to R^{+}, f (x) = x^{3}, g : R^{+} \to R^{+}, g (x) = x^{\frac{1}{3}},

then _____.

46.

Let S be the relation on the set A={5,6,7,8}, S={(5,6), (6,6), (5,5), (8,8), (5,7), (7,7), (7,6)} then _____

(a)	S is reflexive and symmetric but not transitive
(b)	S is reflexibe and transtive but not symmetric
(c)	S is symmetric and transtive but not reflexive
(d)	S is an equivalence relation

47.

If f : R^{+} \to R, f (x) = (3 - x^{3})^{\frac{1}{3}}, then f o f

_____.

48.

I f f : R \to R, f (x) = [x], g : R \to R, g (x) = s i n x, h : R, h (x) = 2 x, t h e n h o (g o f) =_____

49.

If f : R - {- 1} \to R - {- 1}, f (x) = \frac{1 - x}{1 + x},

then fof = _____.

50.

If f : R \to R, f (x) = \{\begin{matrix} 1, & x > 0 \\ 0, & x = 0 \\ - 1, & x < 0 \end{matrix} and g : R \to Z, g (x) = [x]

, then _____.

Showing 41 to 50 out of 98 Questions