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Explain solution for RD Sharma Class 12 Chapter Functions Exercise 2.3 Question 7 maths textbook solution.

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Given : Here given that f is a real function and g is a function given by g(x)=2x.

To prove : Here we have to prove that g\circ f=f+f

Solution : Now, we will take L.H.S. if L.H.S. = R.H.S. then it will be proved.

Take, L.H.S.

                 \begin{aligned} g \circ & f(x)=g(f(x)) \\ &=g(f(x)) \\ &=2(f(x)) \\ &=f(x)+f(x) \\ &=\text { R.H.S. } \end{aligned}

Hence,  g\circ f=f+f

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