⎩ ⎭ 3 2 using interval notation, ⎛ −∞, − 2 ⎞ ∪ ⎛ 3 , ∞ ⎞ . ⎜ ⎟ ⎜ ⎟ 3 2 ⎝ ⎠ ⎝ ⎠ The domain of is ⎧ 0 ≤ ≤ 1 ⎫ or, f x x ⎨ ⎬ ) 22. − − 3x > 9 (2x2 ⎩ 3 ⎭ 2 ⎡ ⎤ 1 4x2 − 6x + 9 > 0 = 36 − 144 − ( = 4 6 + 9 f x) x2 x = −108 − 4ac = (− 6)2 − b2 ⎢0, ⎥ interval notation, . 4(4)(9) ⎣ ⎦
⎩ 3 2 ⎭ using interval notation, ⎛ −∞, − 2 ⎞ ∪ ⎛ 3 , ∞ ⎞ . ⎜ 3 ⎟ ⎜ 2 ⎟ ⎝ ⎠ ⎝ ⎠ The domain of f is ⎧ x 0 ≤ x ≤ 1 ⎫ or, ⎨ ⎬ 22. 2 (2x2 − 3x ) > − 9 ⎩ 3 ⎭ ⎡ 1 ⎤ 4x2 − 6x + 9 > 0 f ( x) = 4 x2 − 6 x + 9 b2 − 4ac = (− 6)2 − 4(4)(9) = 36 − 144 = −108 interval notation, ⎢0, ⎥ . ⎣ ⎦