Find the Domain 1/4x-2

Problem

ƒ(x)=1/(4*x−2)

Solution

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

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

4*x−2=0

3. Solve for x by adding 2 to both sides of the equation.

4*x=2

4. Divide both sides by 4 to isolate x

x=2/4

5. Simplify the fraction to its lowest terms.

x=1/2

6. State the domain as all real numbers except for the value that makes the denominator zero.

Final Answer

Domain: *{x|x∈ℝ,x≠1/2}

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