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

Problem

ƒ(x)=1/(3*x)+4

Solution

1. Identify the type of function. This is a rational function because it contains a variable in the denominator.

2. Determine the restriction for the domain. In a rational expression, 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.

3*x=0

4. Solve for x by dividing both sides by 3

x=0

5. State the domain. The domain consists of all real numbers except for x=0

Final Answer

Domain: *{[x∈ℝ,x≠0]}

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