Find the Domain y=-5/(4x)+3

Problem

y=−5/(4*x)+3

Solution

1. Identify the restriction for a rational function. A function is undefined when its denominator is equal to zero.

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

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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