MCQs of Relations and Functions

Showing 71 to 80 out of 145 Questions

71.

f : R^{+} \cup {0} \to R^{+} \cup {0}, f (x) = \sqrt{x} and g : R \to R, g (x) = x^{2} - 1,

then _____ can not be obtained.

72.

If A ≠ Φ, B ≠ Φ and f : A → B is one - one function, then g : B → A exists such that gof = _____.

73.

If A ≠ Φ, B ≠ Φ and f : A → B is onto function, there exists g : B → A such that _____.

74.

If two functions f : A → B and g : B → A are such that gof = I_A , then _____.

(a)	f is many - one function and g is onto on A.
(b)	f is many - one function and g is onto on B.
(c)	f is one - one function and g is onto on B.
(d)	f is one - one function and g is onto on A.

75.

If gof : A → C is onto C, g is _____.

(a) onto A

(b) onto B

(c) onto C

(d) onto A, B and C

76.

If gof : A → C is one - one and f : A → B is onto B, then _____.

77.

f : Z \to N, f (n) = \{\begin{cases} \begin{array}{l} 4 n; n > 0, n even \\ 4 |n| + 1; n \leq 0, n even \end{array} \\ \begin{array}{l} 4 n + 2; n > 0, n odd \\ 4 |n| + 3; n < 0, n odd \end{array} \end{cases} then f^{- 1} (3) =_____

78.

If f : Z → Z, f(x) = x - 7, then f^-1 _____.

79.

If f : R⁺ → R⁺, f(x) = x³, then f^-1 _____.

80.

If f : {1, 2, 3, ..., n} → {2, 4, 6, ..., 2n}, f(n) = 2n, then f^-1 _____.

Showing 71 to 80 out of 145 Questions