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(f+g)(x) = SQRT (36) - x^2 + 1 - x

Domain: All real numbers, unless the x^2 is part of the SQRT (did not specify) in which case x >= -6

(f-g)(x) = SQRT (36) - x^2 - 1 + x

Domain: All real numbers, unless x^2 is part of SQRT in which case x>= -6

(fg)(x) = (SQRT (36) - x^2)(1 + x) = SQRT (36) + x SQRT (36) - x^2 - x^3

Domain: All real numbers, unless x^2 is part of SQRT in which case x>=-6

(f/g)(x) = (SQRT (36) - x^2)/(1+x)

Domain: x can not equal -1, if x^2 is part of SQRT then x>= -6. otherwise, x not = 1 is the only restriction of domain.

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