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If F ( X ) = | X − 3 | and G ( X ) = F O F ( X ) is Equal to - Mathematics

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प्रश्न

If \[f\left( x \right) = \left| x - 3 \right| \text { and }g\left( x \right) = fof \left( x \right)\]  is equal to __________ .

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MCQ

उत्तर

`0`

 

\[\text { For, x } > 10\]
\[f\left( x \right) = \left| x - 3 \right| = x - 3\]
\[g\left( x \right) = fof \left( x \right) = \left| x - 3 \right| - 3\]
\[ = x - 3 - 3\]
\[ = x - 6\]
\[ \therefore g'\left( x \right) = 1\]

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अध्याय 11: Differentiation - Exercise 11.10 [पृष्ठ १२१]

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आरडी शर्मा Mathematics [English] Class 12
अध्याय 11 Differentiation
Exercise 11.10 | Q 24 | पृष्ठ १२१

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