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Question
If \[f\left( x \right) = \left| x - 3 \right| \text { and }g\left( x \right) = fof \left( x \right)\] is equal to __________ .
Options
1
-1
0
none of these
Solution
`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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