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  • Please solve rd sharma class 12 chapter functions exercise 2.4 question 1 (I) maths textbook solution

Please solve rd sharma class 12 chapter functions exercise 2.4 question 1 (I) maths textbook solution 

Answers (1)

Answer:

No, f is many one.

Given: 

f:\left \{ 1,2,3,4 \right \}\rightarrow \left \{ 10 \right \}\: with\, f=\left \{ \left ( 1,0 \right ),\left ( 2,10 \right ),\left ( 3,10 \right )\left ( 4,10 \right ) \right \}

Hint: 

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

Solution: 

Let us check one-one 

f=\left \{ \left ( 1,10 \right )\left ( 2,10 \right ) , \left ( 3,10 \right ),\left ( 4,10 \right )\right \}

Since all elements have an image, they don't have a unique image.

\therefore \: \: \: \: \: \: f is not one-one

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

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Gurleen Kaur

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