Step 1 :Find the values of x for which the denominators are not equal to zero: f(x): 9x - 2 ≠ 0, g(x): x - 7 ≠ 0, h(x): x^2 + 13x + 36 ≠ 0
Step 2 :Determine the domain of each function using interval notation: \(f(x): (-\infty, \frac{2}{9}) \cup (\frac{2}{9}, \infty)\), \(g(x): [-9, 7) \cup (7, \infty)\), \(h(x): (-\infty, -4) \cup (-4, -9) \cup (-9, \infty)\)