1. ## g of hard

see attached file

2. Originally Posted by aeroflix
see attached file
$h(x) = g(2x) + 2$

$h(1) = g(2\cdot 1) + 2$

$= g(2) + 2$

$= 1 + 2$ (you can read off $g(2)$ from the graph)

$= 3$.