Final answer:
The value of g(15) for g(x) = sin(6x) + 3 is calculated by substituting 15 for x, giving us g(15) = sin(90°) + 3, which simplifies to g(15) = 4.
Step-by-step explanation:
To determine g(15) when g(x) = sin(6x) + 3, we substitute 15 for x in the function. Therefore, we calculate g(15) = sin(6 × 15) + 3. Since sin(90°) = 1 and 6 × 15 equals 90, which is the equivalent of 90° in radians, the equation simplifies to g(15) = 1 + 3. The final answer is g(15) = 4.