Let $f(x) = \left| {x - 2} \right|$ and g(x) = f(f(x)), $x \in \left[ {0,4} \right]$. Then $\int\limits_0^3 {\left( {g(x) - f(x)} \right)} dx$ is equal to:

Question

Let $f(x) = \left| {x - 2} \right|$ and g(x) = f(f(x)), $x \in \left[ {0,4} \right]$. Then
$\int\limits_0^3 {\left( {g(x) - f(x)} \right)} dx$ is equal to:

${1 \over 2}$

${3 \over 2}$

Solution

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