Find the Domain f(x)=2cos(x)

Problem

ƒ(x)=2*cos(x)

Solution

1. Identify the type of function provided. The function ƒ(x)=2*cos(x) is a trigonometric function, specifically a transformation of the basic cosine function.

2. Determine the constraints on the input variable x The cosine function, cos(x) is defined for all real numbers because there are no values of x that result in division by zero or the square root of a negative number.

3. Conclude the domain based on the properties of trigonometric functions. Since there are no restrictions on the input x the domain consists of all real numbers.

Final Answer

Domain: *(−∞,∞)

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