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If the domain of the function f(x) = e ( 2x-35+4x ) + -1 ( 4+3x2-x ) is [ , ), then 2 + 4 is equal to
(1) 4
For e: 2x-35+4x > 0
⇒ x < - 54 or x > 32 … (i)
For -1: -1 4+3x2-x 1, x 2
4+3x2-x 1 ⇒ 4x+22-x 0 ⇒ x - 12 or x > 2
4+3x2-x -1 ⇒ 2x+62-x 0 ⇒ -3 x < 2
⇒ -3 x - 12 … (ii)
From (i) and (ii): domain = [-3, - 54 )
⇒ = -3, = - 54
∴ 2 + 4 = 9 - 5 = 4
Answer: (1)
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