Given function is (x)=√(16−x2) The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes. For domain, f(x) ≥ 0 ⇒16−x2≥0 ⇒16≥x2 ⇒x2≤16 ⇒−4≤x≤4 Hence, domain of f(x)=[−4,4] For Range, f(x) is maximum at x = 0 i.e. f(0) = 4 f(x) is minimum at x = 4 i.e. f(4) = 0 Hence, Range of f(x) = [0, 4] Hence, the domain and range of the function (x) = of the function (x)=√(16−x2) are [-4, 4], [0, 4].