Given the functions, f(x) = x^3 + x^2 + 1 and g(x) = -6x^2 + 2, perform the indicated operations. when applicable, state the domain restriction.
(f + g)(x)

Given functions,

From equation (1) and (2),

Combine like terms,

Which is a polynomial.

∵ The domain of a polynomial is the set of all real numbers,

Hence, the domain of function (f+g)(x) is the set of all real numbers.

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