Target Exam

CUET

Subject

Section B1

Chapter

Relations and Functions

Question:

If $A = \{a, b, c, d\}$ and the function $f = \{(a, b), (b, d), (c, a), (d, c)\}$, write $f^{-1}$.

Options:

$f^{-1} = \{(a, b), (b, d), (c, a), (d, c)\}$

$f^{-1} = \{(b, a), (d, b), (a, c), (c, d)\}$

$f^{-1} = \{(a, c), (b, a), (c, d), (d, b)\}$

$f^{-1} = \{(b, d), (d, a), (a, c), (c, b)\}$

Correct Answer:

$f^{-1} = \{(b, a), (d, b), (a, c), (c, d)\}$

Explanation:

The correct answer is Option (2) → $f^{-1} = \{(b, a), (d, b), (a, c), (c, d)\}$ ##

Given that,

$A = \{a, b, c, d\}$

and

$f = \{(a, b), (b, d), (c, a), (d, c)\}$

$∴f^{-1} = \{(b, a), (d, b), (a, c), (c, d)\}$