If f of x is equal to 2 x and g of x is equal to square root of x , what is the domain of open paren f circ g close paren times x ?

For the composition, substitute g(x) = √x into f, giving (f ∘ g)(x) = 2√x. The square root is defined for real numbers only when x ≥ 0, and f(x) = 2x adds no further restriction. So the domain is x greater than or equal to 0, choice A.

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