How would you write f(x)=3x-abs(x-4)+1 as piecewise? I know we have 3x-x+4+1=2x+5 and 3x+x-4+1=4x-3 as the two pieces, but how do I the domain for each?
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Originally Posted by twittytwitter How would you write f(x)=3x-abs(x-4)+1 as piecewise? I know we have 3x-x+4+1=2x+5 and 3x+x-4+1=4x-3 as the two pieces, but how do I the domain for each? $\displaystyle \left| {x - 4} \right| = \left\{ \begin{gathered} - x + 4,\;x < 4 \hfill \\ x - 4,\;4 \leqslant x \hfill \\ \end{gathered} \right.$
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