Find the Domain (k^2)/(k-1)=(6k-6)/(k^2)

Problem

(k2)/(k−1)=(6*k−6)/(k2)

Solution

1. Identify the denominators in the equation. The domain of an algebraic expression or equation consists of all real numbers except those that make any denominator equal to zero.

2. Set the first denominator equal to zero to find the excluded value.

k−1=0

k=1

3. Set the second denominator equal to zero to find the other excluded value.

k2=0

k=0

4. State the domain by excluding these values from the set of all real numbers. The domain is all real numbers k such that k≠0 and k≠1

Final Answer

Domain: *{[k∈ℝ,k≠0,k≠1]}

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