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RELATIONS AND FUNCTIONS — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsRELATIONS AND FUNCTIONS1 Mark
Question
If $\text{f(x)}=\text{x}+7$ and $\text{g(x)}=\text{x}-7,\ \text{x}\in\text{R},$ then find $=\frac{\text{d}}{\text{dx}}(\text{fog})(\text{x}).$
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Answer

Given: f(x) = x + 7
g(x) = x - 7
(fog)(x) = f(g(x))
= f(x - 7)
= (x - 7) + 7
= x
$\frac{\text{d}}{\text{dx}}(\text{fof})(\text{x})$
$=\frac{\text{d}}{\text{dx}}(\text{x})=1$

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