Relations and Functions  MCQs

MCQs of Relations and Functions

Showing 71 to 80 out of 98 Questions
5 6 7 8 9 10
71.
If f : { x | x ≤ -1, x ∈ R} →  { x | x ≤ -2, x ∈ R} , f(x) = x + 1x, then f-1(x) = _____.
(a) x +x2 - 42
(b) x -x2 - 42
(c) x2 + 1x
(d) x2 - 4
Answer:

Option (b)

72.
If f : R - -32 →R - -32, f(x) = 3x + 22x + 3 is a function, then f-1(x) =  _____.
(a) 3x - 22x - 3
(b) 3x + 22x - 3
(c) -3x - 22x - 3
(d) 3x - 22x + 3
Answer:

Option (c)

73.
The range of function f(x) = 7 - xPx - 3 is _____.
(a) {1, 2, 3, 4}
(b) {1, 2, 3}
(c) {1, 2, 3, 4, 5, 6}
(d) {1, 3}
Answer:

Option (b)

74.
If f : R+ →R+ , f(x) = (5 - x2)12, then (fof) (x)=  _____.
(a) x2
(b) x
(c) 5 - x2
(d) (5 - x2)12
Answer:

Option (b)

75.
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
Answer:

Option (b)

76.
If f : R - 35 →R - 35, f(x) = 3x + 15x - 3 then _____.
(a) f -1(x) = f(x)
(b) f -1(x) = - f(x)
(c) (fof) (x) = - x
(d) f-1(x) = - f(x)19
Answer:

Option (a)

77.
Let f(x) =1- 1x Then ff1x = _____.
(a) 1x
(b) 11 + x
(c) xx - 1
(d) 1x - 1
Answer:

Option (c)

78.
If f, g, h: R→R, where f(x) = x2, gx = tan x and hx = log x then the value of (ho(gof)) π4 = _____.
(a) 0
(b) 1
(c) -1
(d) π
Answer:

Option (a)

79.
If y = f(x) =x + 2x - 1, where f: R -{1}→R, then _____.
(a) x = f(y)
(b) f(1) = 3
(c) f2 = 14
(d) f -1(5) = 7
Answer:

Option (a)

80.
f: Q→R, f(x) =2x - 12 and g: Q→R, g(x) = x + 2 are given functions, then (gof) 32 = _____.
(a) -3
(b) 72
(c) 3
(d) -72
Answer:

Option (c)

Showing 71 to 80 out of 98 Questions
5 6 7 8 9 10