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Which of the following statements is TRUE ?

1. f( 3 ln ) + g( 3 ln ) = 3 1
2. For every x > 1, there exist an α ∈ (1, x) such that ψ 1 (x) = 1 + α x
3. For every x > 0, there exists a β ∈ (0, x) such that ψ 2 (x) = 2x( ψ 1 ( β ) – 1)
4. f is an increasing function on the interval ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ 2 3 , 0

Correct answer: For every x > 0, there exists a β ∈ (0, x) such that ψ 2 (x) = 2x( ψ 1 ( β ) – 1)

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