Find the Domain f(x)=-2x^2+8x-5

Problem

ƒ(x)=−2*x2+8*x−5

Solution

1. Identify the type of function. The given function ƒ(x)=−2*x2+8*x−5 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 variables in denominators (which would cause division by zero) or variables inside even-indexed roots (which would require non-negative radicands).

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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