Question

What are the excluded values? (2)/(x(x-3))

Answer 1

The excluded values for the function f(x) = 2/(x(x-3)) are x = 0 and x = 3 because they make the denominator of the fraction equal to zero, hence the function is undefined at these points.

Step-by-step explanation:

The excluded values of a function are the values that make the function undefined, which typically happens when those values result in a division by zero. In the case of the function f(x) = \frac{2}{x(x-3)}, the excluded values are the solutions to the equation x(x-3) = 0. We find that the values of x that make the denominator zero are x = 0 and x = 3. These are the values for which the function is not defined and are therefore excluded from the domain of the function.