Final answer:
To solve the equation f(x) = √(20-2x) using interval notation, set 20-2x ≥ 0 and solve for x. The solution is x ∈ (-∞, 10].
Step-by-step explanation:
To solve the equation f(x) = √(20-2x) using interval notation, we need to find the values of x that make f(x) defined. In this case, the square root function is defined only for non-negative values inside the square root. So, we set 20-2x ≥ 0 and solve for x:
20-2x ≥ 0
-2x ≥ -20
x ≤ 10
Therefore, the solution to the equation is x ∈ (-∞, 10]