Question

which value(s) of x will be excluded from the domain of the rational function? y = \frac{2x}{2x - 1}
-1
1
-\frac{1}{2}
\frac{1}{2}

Explanation:

Step1: Recall domain - exclusion rule

The denominator of a rational function cannot be zero.

Step2: Set denominator equal to zero

Set \(2x - 1=0\).

Step3: Solve for \(x\)

Add 1 to both sides: \(2x=1\), then divide by 2, so \(x = \frac{1}{2}\).

Answer:

D. \(\frac{1}{2}\)