MCQs of Relations and Functions

Showing 111 to 120 out of 145 Questions

111.

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

is _____.

112.

If f : R → R, f(x) = ⌈ x ⌉, g : R → R, g(x) = cos x, h : R → R, h(x) = 3x, then ho (gof) = _____.

113.

If f : {x | x \leq - 1, x \in R} \to {x | x \leq - 2, x \in R}, f (x) = x + \frac{1}{x}, then f^{- 1} (x)

= _____.

114.

If f : R - \{- \frac{3}{2}\} \to R - \{- \frac{3}{2}\}, f (x) = \frac{3 x + 2}{2 x + 3} is a function, then f^{- 1} (x) =

_____.

115.

The range of function f(x) = _{7 - x}P_{x - 3} is _____.

116.

If f : R^{+} \to R^{+}, f (x) = (5 - x^{2})^{\frac{1}{2}}, then (f o f) (x) =

_____.

117.

Let A = {2, 3, 4, 5} and R = {(2, 2), (3, 3), (4, 4), (5, 5),(2, 3), (3, 2), (3, 5), (5, 3)} be a relation, Then R is, _____.

(a)	Reflexive and transitive
(b)	Reflexive and symmetrical
(c)	Reflexive, transitive and antisymmetrical
(d)	Equivalence relation

118.

If f : R - \{\frac{3}{5}\} \to R - \{\frac{3}{5}\}, f (x) = \frac{3 x + 1}{5 x - 3} then

_____.

119.

Let f (x) = 1 - \frac{1}{x} Then f (f (\frac{1}{x}))

= _____.

120.

If f, g, h : R \to R, where f (x) = x^{2}, g (x) = \tan x and h (x) = \log x then the value of (h o (g o f)) (\sqrt{\frac{π}{4}})

= _____.

Showing 111 to 120 out of 145 Questions