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  • Need solution for RD Sharma Class 12 Chapter Functions Exercise 2.3 Question 4 Sub question (i) maths textbook solution.

Need solution for RD Sharma Class 12 Chapter Functions Exercise 2.3 Question 4 Sub question (i) maths textbook solution.

Answers (1)

Answer : f \circ g(x)=2 x^{2}+7

Given : Here given that

            f(x)=2 x+5 \text { and } g(x)=x^{2}+1

Here we have to compute f\; o\; g

Solution :

          Since f(x) and g(x) are polynomials.

\begin{array}{ll} \Rightarrow \quad & f: R \rightarrow R \text { and } g: R \rightarrow R \\ \Rightarrow \quad & f \circ g(x)=f(g(x)) \\ & =f\left(x^{2}+1\right) \\ & =2\left(x^{2}+1\right)+5 \\ & =2 x^{2}+2+5 \\ & =2 x^{2}+7 \end{array}

Hence, f\; o\; g(x)=2x^{2}+7

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