SOLUTION: State the domain and range of this: f(x) = square root of (radical) 4-x

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Question 775094: State the domain and range of this:
f(x) = square root of (radical) 4-x
Answer by tanjo3(60) About Me  (Show Source):
You can put this solution on YOUR website!
(1) The base function of f(x) = √(4-x) is the function g(x) = √x. The domain of this function is {x ∈ R: x ≥ 0}.

(2) The function h(x) = √(4+x) indicates a translation of the base function, g(x), four units to the left. Therefore, the domain of h(x) is {x ∈ R: x ≥ -4}.

(3) The original function f(x) = √(4-x) indicates a reflection along the y-axis. Therefore, the domain of f(x) is {x ∈ R: x ≤ 4}.