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  • Please solve RD Sharma class 12 chapter 10 Differentiation exercise Very short answers question 30 maths textbook solution

Please solve RD Sharma class 12 chapter 10 Differentiation exercise Very short answers question 30 maths textbook solution

Answers (1)

best_answer

Answer:

The answer of given question is 1.
 

Hint:

(f o g)(x)=f[g(x)]

Given:

\operatorname{If\; f}(x)=x+7 \operatorname{and \; g}(x)=x-7, x \in R, \text { then find } \frac{d}{d x}(f o g)(x)
Solution:  

\begin{aligned} &f(x)=x+7, \quad g(x)=x-7 \\\\ &(f \circ g)(x)=f[g(x)] \end{aligned}

\begin{aligned} &=f(x-7) \\\\ &=x-7+7 \\\\ &=x \end{aligned}

\frac{d}{d x}(f o g)(x)=1

so, the answer of  \frac{d}{d x}(f o g)(x)=1

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