Find the Domain f(x) = square root of 4+76-4

Problem

ƒ(x)=√(,4+76−4)

Solution

1. Simplify the expression inside the square root by performing the addition and subtraction.

4+76−4=76

2. Evaluate the function based on the simplified constant value.

ƒ(x)=√(,76)

3. Identify the nature of the function. Since ƒ(x) is a constant function and does not contain the variable x there are no restrictions on the input x

4. Determine the domain. For any real number x the function yields the same real value √(,76) Therefore, the domain is all real numbers.

Final Answer

Domain of *ƒ(x)=√(,4+76−4)* is *(−∞,∞)

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