If f(x) = x + 1, find d dx (fof)(x). - Vidyadip

Question

If f(x) = x + 1, find $\frac{\text{d}}{\text{dx}}(\text{fof})(\text{x}).$

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Answer

Given: f(x) = x + 1
fof(x) = (x + 1) + 1 = x + 2
$\frac{\text{d}}{\text{dx}}(\text{fof})(\text{x})$
$=\frac{\text{d}}{\text{dx}}(\text{x}+2)$
$=1$

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