Find the Domain (0f(x))/0

Problem

ƒ(x)=0/0

Solution

1. Identify the nature of the expression. The function is given as a constant fraction where the numerator and denominator are both zero.

2. Apply the definition of a domain. The domain of a function consists of all real numbers x for which the expression is defined.

3. Analyze the denominator. A mathematical expression is undefined whenever the denominator is equal to zero.

4. Determine the validity of the expression. Since the denominator is 0 regardless of the value of x the expression 0/0 is undefined for all real numbers.

5. Conclude that there are no values of x that make the function defined.

Final Answer

Domain=∅

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