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  • Please solve RD Sharma class 12 Chapter Functions exercise 2.1 question 18 maths textbook solution.

Please solve RD Sharma class 12 Chapter Functions exercise 2.1 question 18 maths textbook solution.

Answers (1)

Let  f_1:Z\rightarrow Z  defined by f_1(x)=x and f_2:Z\rightarrow Z defined by f_2(x)=-x

Then f_1 and f_2 are surjective functions.

Now,

            f_1+f_2:Z\rightarrow Z is given by

            \begin{aligned} \left(f_{1}+f_{2}\right)(x) &=f_{1}(x)+f_{2}(x) \\ &=x-x \\ &=0 \end{aligned}

               

Since f_1+f_2  is a constant function.

Hence it is not surjective.

Posted by

infoexpert24

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