determine the domain of the function and express in interval notation
square root of x-9 =y
show work
To determine the domain of the function f(x) = √(x-9), we need to find the values of x that make the expression inside the square root non-negative.
Step 1: Set the expression inside the square root greater than or equal to zero: x - 9 ≥ 0.
Step 2: Solve for x by adding 9 to both sides of the inequality: x ≥ 9.
Therefore, the domain of the function f(x) = √(x-9) is x ≥ 9.
In interval notation, this can be expressed as [9, ∞). The square bracket indicates that 9 is included in the domain, and the infinity symbol (∞) represents all values greater than 9.