Question

Find the domain of each function using interval notation:

1) f(x) = 2x(x-1)(x-2)
2) f(x) = 9/(x-6)

Answer 1

The domain of the first function is (-∞, ∞) and the domain of the second function is (-∞, 6) U (6, ∞).

Step-by-step explanation:

When finding the domain of a function, we need to consider the values of x that make the function well-defined. For the first function, f(x) = 2x(x-1)(x-2), the domain is all real numbers since there are no restrictions on x.

For the second function, f(x) = 9/(x-6), the domain is all real numbers except x = 6, because dividing by zero is undefined.

Therefore, the domain of the first function is (-∞, ∞) and the domain of the second function is (-∞, 6) U (6, ∞).