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If the function f : (– ∞ , –1] → (a, b] defined by f(x) = 1 x 3 x 3 e + − is one-one and onto, then the distance of the point P(2b + 4, a + 2) from the line x + e − 3 y = 4 is

1. 6 e 1 +
2. 6 e 1 3 +
3. 6 e 1 2 +
4. 6 e 1 4 +

Correct answer: 6 e 1 2 +

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