Find the Domain y=1/2x-5

Problem

y=1/(2*x−5)

Solution

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

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

2*x−5=0

3. Solve for x by adding 5 to both sides.

2*x=5

4. Divide both sides by 2 to isolate x

x=5/2

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

Final Answer

Domain: *{[x∈ℝ,x≠5/2]}

Want more problems? Check here!