## Functions Modeling Change: A Preparation for Calculus, 5th Edition

$1-\frac{7}{x+5}$
Rewrite $x-2$ as $(x+5)-7$. Therefore, $$=\frac{(x+5)-7}{x+5}=\frac{x+5}{x+5}-\frac{7}{x+5}=1-\frac{7}{x+5}$$