Find the Domain xy=12

Problem

x*y=12

Solution

1. Isolate the dependent variable by solving the equation for y in terms of x

y=12/x

2. Identify the restriction for a rational function. The denominator of a fraction cannot be equal to zero because division by zero is undefined.

x≠0

3. Determine the domain by including all real numbers except for the value that makes the denominator zero.

Domain={[x∈ℝ,x≠0]}

4. Express the domain in interval notation, representing all values from negative infinity to zero and from zero to positive infinity.

(−∞,0)∪(0,∞)

Final Answer

Domain of *x*y=12* is *(−∞,0)∪(0,∞)

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