Step 1 :\( (h \circ h)(x) = h(h(x)) \)
Step 2 :\( h(h(x)) = h(4x+1) \)
Step 3 :\( h(4x+1) = 4(4x+1)+1 \)
Step 4 :\( h(4x+1) = 16x+4+1 \)
Step 5 :\( \boxed{h(4x+1) = 16x+5} \)