Question

Find the the domain of the function f(x)=(x+9)/(x^(2)+5x-50)

Answer 1

x² + 5x - 50 ≠ 0

(x + 10)(x - 5) ≠ 0

x ≠ -10, 5

The domain of this function is all real numbers except -10 and 5.

In interval notation:

(-infinity, -10) U (-10, 5) U (5, infinity)