Question

Let f(x)=((3x-2))/((x-3)(x+9)) Find the domain in interval notation

Answer 1

The domain of the function f(x) is (-∞, -9) ∪ (-9, 3) ∪ (3, ∞).

Step-by-step explanation:

The domain of a function is the set of all values of x for which the function is defined. In this case, we need to determine the values of x that would make the denominator of the function equal to zero, since dividing by zero is undefined. The denominator is (x-3)(x+9), so we set each factor equal to zero and solve for x:

1. x-3 = 0, x = 3
2. x+9 = 0, x = -9

Therefore, the domain of the function in interval notation is (-∞, -9) ∪ (-9, 3) ∪ (3, ∞).