Find the Domain y=3sin(x)

Problem

y=3*sin(x)

Solution

1. Identify the type of function. The given equation is a transformation of the basic trigonometric sine function, y=sin(x)

2. Analyze the input variable. The sine function is defined for all real numbers because any angle x can be represented on the unit circle.

3. Check for restrictions. There are no denominators that could be zero, no square roots of negative numbers, and no logarithms within the expression.

4. Determine the domain. Since there are no values of x that make the expression undefined, the domain consists of all real numbers.

Final Answer

Domain: *(−∞,∞)

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