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  • Please solve rd sharma class 12 chapter Functions excercise 2.4 question 1 (II) maths textbook solution

Please solve rd sharma class 12 chapter Functions excercise 2.4 question 1 (II) maths textbook solution 

Answers (1)

Answer : 

No, g is many one. 

Given : 

        g=\left \{ 5,6,7,8 \right \}\rightarrow \left \{ 1,2,3,4 \right \}\: \: With\: \: g=\left \{ \left ( 5,4 \right ),\left ( 6,3 \right ),\left ( 7,4 \right ) \left ( 8,2 \right )\right \}

Hint:

A function has an inverse if it is one-one and onto.

Solution:

Let us check one-one

g=\left \{ \left ( 5,4 \right ),\left ( 6,3 \right ),\left ( 7,4 \right ) \left ( 8,2 \right )\right \}

Since 5 and 7 have same image4, g is not one-one.

Since g is not one-one, it doesn't have an inverse.

 

 

Posted by

Gurleen Kaur

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