Find the Domain X=X^(ABC)

Problem

ƒ(x)=x(a*b*c)

Solution

1. Identify the type of function. The expression x(a*b*c) is a power function where the base is the variable x and the exponent is a constant product a*b*c

2. Analyze the exponent a*b*c Since the specific values of a b and c are not provided, we must consider the most general case for a power function xn

3. Determine the constraints for the general case. For any real exponent, the base x must be greater than 0 to ensure the result is always a real number (avoiding issues like the square root of a negative number or division by zero if the exponent is negative).

4. Define the domain in interval notation. Assuming a*b*c can be any real number, the function is defined for all positive real numbers.

Final Answer

Domain:(0,∞)

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