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Let g(x) be a linear function and f(x) = , 0 x , x 2 x 1 0 x ), x ( g x 1 ⎪ ⎩ ⎪ ⎨ ⎧ > ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ + + ≤ is continuous at x = 0. If f'

1. = f(–1), then the value g
2. is
3. log e 1 9 4 − ⎟ ⎠ ⎞ ⎜ ⎝ ⎛
4. log e ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ 3 / 1 e 9 4 (3) 1 9 4 log 3 1 e + ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ (4) ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ 3 / 1 e e 9 4 log 3 1

Correct answer: is

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