Explain, using the theorems, why the function is continuous at every number in i

Question

Explain, using the theorems, why the function is continuous at every number in its domain. Q(x) = 3 Squareroot x - 3/x^3 - 3 Q(x) is a polynomial, so it is continuous at every number in its domain Q(x) is a rational function, so it is continuous at every number in its domain. Q(x) s built up from functions that are continuous for a real numbers, so it is continuous at every number in its domain Q(x) is not continuous at every number in its domain. none of these State the domain. (Enter your answer using interval notation)

Explanation / Answer

Denominator is being zero at the cube root of 3.So at this point the function is undefined and does not take any finite value.Its domain is (-infinity,cube root 3)union (cube root 3,infinity)

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