Find the Domain 1/(4x)+8

Problem

1/(4*x)+8

Solution

1. Identify the restriction for the expression. Since the expression contains a fraction, the denominator must not be equal to zero to avoid division by zero.

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

4*x=0

3. Solve for x by dividing both sides by 4

x=0

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

5. Express the domain in interval notation or set-builder notation.

Final Answer

Domain=(−∞,0)∪(0,∞)

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