Answer
$y=log_3(x+2)$ (exercise 9) and $y=3^x-2$ (exercise 12);
$y=log_2(5-x)$ (exercise 11) and $y=5-2^x$ (exercise 10)
Work Step by Step
Inverse functions are symmetric with respect to $y=x$ and satisfy $f(g(x))=g(f(x))=x$. We can determine from the graphs that $y=log_3(x+2)$ (exercise 9) and $y=3^x-2$ (exercise 12) are inverses to each other. Similarly, we can find that $y=log_2(5-x)$ (exercise 11) and $y=5-2^x$ (exercise 10) are inverses to each other.