Answer:
D. 8
Step-by-step explanation:
well, let's look at the different parts of the functional expression :
the maximum of 5 is 5, of course.
the maximum of 3 is 3.
the maximum of sin(2x) is the maximum of any sine = 1.
sin(2x) only changes the frequency of the sine wave (the max and min values appear twice as often than for sin(x)), but does not have an impact on the amplitude, which defines the max. and min. values.
sin(2x) is NOT the same as 2×sin(x).
sin(2x) still "waves" between +1 and -1.
so, the total maximum is
5 × 1 + 3 = 8
