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  • Please Solve RD Sharma Class 12 Chapter Function Exercise 2.4 Question 1 Subquestion (ii) Maths Textbook Solution.

Please Solve RD Sharma Class 12 Chapter Function Exercise 2.4 Question 1 Subquestion (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 image 4, g is not one-one.

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

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