Answer :

It is given that h(x) = sin(2x) + 5

Now, we can see that -1 ≤ sin2x ≤ 1


-1 + 5 ≤ sin2x + 5 ≤ 1 + 5


4 ≤ sin2x + 5 ≤ 6


Therefore, the maximum and minimum value of function h are 6 and 4 respectively.


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