Find the Domain y=3x^2*(18x)+26

Problem

y=3*x^2*(18*x)+26

Solution

1. Identify the type of function. The given expression y=3*x^2*(18*x)+26 is a polynomial function.

2. Simplify the expression by multiplying the terms.

y=54*x^3+26

3. Determine the restrictions on the variable x Polynomial functions do not contain divisions by zero, square roots of negative numbers, or logarithms of non-positive numbers.

4. Conclude that the function is defined for all real numbers. In interval notation, this is represented as (−∞,∞)

Final Answer

Domain: *(−∞,∞)

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