surfz

$\frac{3-z}{z+1} \ge 2(z + 4)$

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 $(-2/5,-21/5)$