Question

Find the domain and real seros of the given function ?
f(x) = (x - 3)²/ X³ - 3x²+2x​

Answer 1

Domain: All real numbers; x ≠ 0, 1, 2

Zero(s): x = 3

Explanation:

`f(x) = ((x-3)^2)/(x^3 - 3x^2 +2x)\\ \\f(x) = ((x-3)(x-3))/((x)(x-2)(x-1))`

Domain: All real numbers; x ≠ 0, 1, 2

x cannot equal any of these values because it causes the function to be undefined.

Zero(s): x = 3

The function is equal to 0 when the numerator is equal to 0. This happens when x = 3.