Find the domain of the function v(x)=x-1/x^2-2x+1

Answer 1

The denominator of the function v(x) is x^2 - 2x + 1, which factors as (x - 1)^2. Therefore, the function is undefined when x = 1 (since the denominator would be 0).

To find the domain of the function, we need to determine all values of x for which the function is defined. This means we need to exclude x = 1 from the set of possible inputs.

The domain of v(x) is all real numbers except x = 1. Mathematically, we can express this as:

Domain: (-∞, 1) ∪ (1, ∞)