Find the Domain y=1/10*(x^4+6x^2+11)

Problem

y=1/10*(x4+6*x2+11)

Solution

1. Identify the type of function. The given expression is a polynomial function of degree 4.

2. Analyze the restrictions. A function's domain is restricted if there are denominators that could be zero, square roots of negative numbers, or logarithms of non-positive numbers.

3. Determine the domain. Since the expression x4+6*x2+11 is a polynomial, it is defined for all real numbers x There are no variables in a denominator and no radical signs.

4. Express the result in interval notation. The set of all real numbers is represented as (−∞,∞)

Final Answer

Domain:(−∞,∞)

Want more problems? Check here!