Find the Domain y=4cos(x)

Problem

y=4*cos(x)

Solution

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

2. Analyze the constraints of the cosine function. The 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. Determine the effect of the coefficient. The multiplier 4 affects the amplitude (range) of the function but does not impose any restrictions on the input values x

4. Conclude the domain. Since there are no restrictions on the input, the domain consists of all real numbers.

Final Answer

Domain:(−∞,∞)

Want more problems? Check here!