Find the Domain f(x)=5 square root of x-4

Problem

ƒ(x)=5√(,x−4)

Solution

1. Identify the restriction for a square root function. For the function to be defined in the set of real numbers, the expression inside the square root (the radicand) must be greater than or equal to zero.

2. Set up the inequality based on the radicand.

x−4≥0

3. Solve the inequality for x by adding 4 to both sides.

x≥4

4. Express the domain in interval notation. Since x can be any value from 4 to infinity, including 4 we use a square bracket.

[4,∞)

Final Answer

Domain: *[4,∞)

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