Q(t) =

5, if 0 ¡Ü t ¡Ü 5
−t + 7 if 5 < t ¡Ü 8
t − 1
, if 8 < t ¡Ü 11

Q(m2 + 1), 7
< m ¡Ü 10
= 4

To find the value of Q(m^2 + 1) when 7 < m ≤ 10, we first need to determine the value of m^2 + 1 and then use that value to find the corresponding value of Q(t).

1. Start by substituting the values of m and m^2 into the expression Q(m^2 + 1).

m^2 + 1 = (7^2 + 1) = 50

2. Now we have determined the value of m^2 + 1 which is 50. We need to find the corresponding value of Q(t) for this value.

Since 8 < t ≤ 11, we can use the third piecewise function, which is Q(t) = t - 1.

Plugging in the value of m^2 + 1 (which is 50) into the expression Q(t) = t - 1:

Q(50) = 50 - 1 = 49

Therefore, when 7 < m ≤ 10, Q(m^2 + 1) is equal to 49.