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Let f : R → R and g : R → R be defined as f(x) = e x log x, x 0 e , x 0 − > ⎧ ⎪ ⎨ ≤ ⎪ ⎩ and g(x) = x x, x 0 e , x 0 ≥ ⎧ ⎪ ⎨ < ⎪ ⎩ . Then, gof : R → R is :

1. Neither one-one nor onto
2. Onto but not one-one
3. Both one-one and onto
4. One-one but not onto

Correct answer: Neither one-one nor onto

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