Find the Domain f(x)=(x-4)^2-3

Problem

ƒ(x)=(x−4)2−3

Solution

1. Identify the type of function. The expression ƒ(x)=(x−4)2−3 is a polynomial function, specifically a quadratic function.

2. Determine if there are any restrictions. Polynomial functions do not contain divisions by zero, square roots of negative numbers, 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: *(−∞,∞)

Want more problems? Check here!