Find the Domain 5k=1k^2

Problem

5*k=1/(k2)

Solution

1. Identify the expression as a rational equation where the variable k appears in the denominator.

2. Determine the restriction for the domain by identifying values that would make the denominator equal to zero, as division by zero is undefined.

3. Set the denominator k2 to zero and solve for k

k2=0

4. Solve for k by taking the square root of both sides.

k=0

5. Exclude this value from the set of all real numbers to define the domain.

Final Answer

Domain: *{[k∈ℝ,k≠0]}

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