Find the Domain f(x)=-4x^2+24x-2

Problem

ƒ(x)=−4*x2+24*x−2

Solution

1. Identify the type of function. The given expression ƒ(x)=−4*x2+24*x−2 is a polynomial function of degree 2, also known as a quadratic function.

2. Determine if there are any restrictions. Polynomial functions do not contain square roots of negative numbers, divisions by zero, or logarithms of non-positive numbers.

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

Final Answer

Domain: *(−∞,∞)

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