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If the domain of the function f(x) = 7 (1 - 4 (x2 - 9x + 18 ) ) is ( , ) ( , ), then + + + is equal to
(4) 18
Condition 1 (inner log defined):
x2 - 9x + 18 > 0
⇒ (x - 3)(x - 6) > 0
⇒ x < 3 or x > 6
Condition 2 (outer log defined):
1 - 4(x2 - 9x + 18) > 0
⇒ x2 - 9x + 18 < 4
⇒ x2 - 9x + 14 < 0
⇒ (x - 2)(x - 7) < 0
⇒ 2 < x < 7
∴ Domain = (2, 3) (6, 7)
⇒ + + + = 2 + 3 + 6 + 7 = 18
Answer: (4)
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