Find the Domain f(x) = square root of x-3

Problem

ƒ(x)=√(,x−3)

Solution

1. Identify the restriction for a square root function, which requires the radicand (the expression inside the square root) to be greater than or equal to zero.

2. Set up the inequality based on the radicand.

x−3≥0

3. Solve the inequality for x by adding 3 to both sides.

x≥3

4. Express the domain in interval notation, representing all real numbers starting from 3 and extending to infinity.

[3,∞)

Final Answer

Domain:[3,∞)

Want more problems? Check here!