If M = {y | y = x2 + 1}, n = {y = | y = 3-x2}, then M intersects n =?

If M = {y | y = x2 + 1}, n = {y = | y = 3-x2}, then M intersects n =?

y=x²+1≥1
∴M=[1,+∞)
y=3-x²≤3
∴N=(-∞,3]
∴M∩N=[1,3]