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Find the Domain 4/x

Problem

4/x

Solution

  1. Identify the type of function. The expression is a rational function, which is defined as the ratio of two polynomials.

  2. Determine the restriction for the domain. For a rational function, the denominator cannot be equal to zero because division by zero is undefined.

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

x=0

  1. State the domain as all real numbers except for the value that makes the denominator zero.

x≠0

Final Answer

Domain: *{x|x∈ℝ,x≠0}


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