Question

Write as a piecewise function

f(x) = (4x-|x|)/x

Answer 1

\[x>0, f(x)=\frac{4x-x}{x}=\frac{3x}{x}=3\]
\[x<0, f(x)=\frac{4x-(-x)}{x}=\frac{4x+x}{x}=\frac{5x}{x}=5\]
\[x=0, f(x) DNE \]