Find the Domain sin(2x)

Problem

sin(2*x)

Solution

1. Identify the function type. The expression ƒ(x)=sin(2*x) is a trigonometric sine function.

2. Analyze the constraints of the sine function. The sine function sin(u) is defined for all real numbers u

3. Evaluate the inner expression. The argument u=2*x is a linear polynomial, which is defined for all real numbers x

4. Determine the domain. Since there are no values of x that result in division by zero, square roots of negative numbers, or undefined logarithmic arguments, the function is defined for all real numbers.

Final Answer

Domain: *(−∞,∞)

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