\(\frac{3-z}{z+1} \ge 2(z + 4)\) simplified: \(\frac{(2z+1)(z+5)}{z+1} \ge 0\)
interval notation: \((-\infty, -5] \cup (-1,- \frac{1}{2}]\)
\(f(3)=4\)
the second equation vertically compresses the original function by 1/5, horizontally compressed by 5, and horizontally shifted 5 to the left.
orig. point: \((3,4)\)
new point: \((-0.4,-4.2)\) or \((-2/5,-21/5)\)