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

Answer 1

`0`

 

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