Find the Domain y=|(2x-1)/(x-1)|

Problem

y=|(2*x−1)/(x−1)|

Solution

1. Identify the constraints of the function. The expression involves an absolute value and a rational function.

2. Determine the restriction for the rational part. A rational function is undefined when its denominator is equal to zero.

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

x−1=0

4. Solve for x

x=1

5. Conclude that the domain consists of all real numbers except for x=1 as the absolute value function itself is defined for all real inputs.

Final Answer

Domain:{[x∈ℝ,x≠1]}

Want more problems? Check here!