Find the Domain y=1/(4x)+3

Problem

y=1/(4*x)+3

Solution

1. Identify the restriction for a rational function, which is that the denominator cannot be equal to zero.

2. Set the denominator expression 4*x to be not equal to zero.

4*x≠0

3. Solve for x by dividing both sides of the inequality by 4

x≠0

4. Express the domain in interval notation, representing all real numbers except 0

(−∞,0)∪(0,∞)

Final Answer

Domain:(−∞,0)∪(0,∞)

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