Find the Domain f(x)=6x^2-6xf(x+h)

Problem

ƒ(x)=6*x2−6*x

Solution

1. Identify the type of function provided. The function ƒ(x)=6*x2−6*x is a polynomial function of degree 2 (a quadratic function).

2. Determine the restrictions for the domain. Polynomial functions do not contain any operations that restrict the input values, such as division by zero (fractions with variables in the denominator) or taking the square root of a negative number.

3. Conclude that the function is defined for all real numbers. Since there are no values of x that make the expression undefined, the domain consists of every real number.

Final Answer

Domain: *(−∞,∞)

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