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JEE MATHEMATICS MCQ: FUNCTIONS

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Application +4 | -1

Let

A=\{1,2,3,4\}

and

f: A \rightarrow A

satisfy

f(1)=2, f(2)=3, f(3)=4, f(4)=1

.
Suppose

g: A \rightarrow A

satisfies

g(1)=3

and

f o g=g of,

then

g=

View answer and explanation

Correct option: B

\{(1,3),(2,4),(3,1),(4,2)\}

Option B is correct. By using the given conditions

f(1)=2, f(2)=3, f(3)=4, f(4)=1, g(1)=3

and

f o g=g o f

, we can find the values of

g(2), g(3),

and

g(4)

, which leads to

g=\{(1,3),(2,4),(3,1),(4,2)\}

.

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