Find the Domain y=4/(x^2)

Problem

y=4/(x2)

Solution

1. Identify the restriction for a rational function, which is that the denominator cannot be equal to zero.

2. Set the denominator equal to zero to find the excluded values of x

x2=0

3. Solve for x by taking the square root of both sides.

x=0

4. Determine the domain by excluding the value where the denominator is zero. The domain consists of all real numbers except x=0

5. Express the domain in interval notation.

(−∞,0)∪(0,∞)

Final Answer

Domain:{[x∈ℝ,x≠0]}

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