Problem

Find the domain of the quotient of the functions f(x)=x2−4 and g(x)=x−2.

Answer

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Answer

Step 2: The value of x that makes g(x) equal to zero is excluded from the domain. Therefore, the domain of the quotient f(x)/g(x) is all real numbers except x=2.

Steps

Step 1 ：Step 1: Set the denominator g(x) equal to zero and solve for x. x−2=0 implies x=2.

Step 2 ：Step 2: The value of x that makes g(x) equal to zero is excluded from the domain. Therefore, the domain of the quotient f(x)/g(x) is all real numbers except x=2.

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