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

Problem

ƒ(x)=3/(4*x)

Solution

1. Identify the type of function. This is a rational function where the variable x is in the denominator.

2. Determine the restriction for the domain. A fraction is undefined when its denominator is equal to zero.

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

4*x=0

4. Solve for x by dividing both sides by 4

x=0

5. State the domain. The domain consists of all real numbers except for the value that makes the denominator zero.

Final Answer

Domain: *{[x∈ℝ,x≠0]}

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