Practicing Success
Practicing Success
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Let $f:[2, ∞) → X$ be define by $f(x)=4x-x^2$. Then, f is invertible, if X = |
[2, ∞) (-∞, 2] (-∞, 4] [4, ∞) |
(-∞, 4] |
The correct answer is Option (3) → (-∞, 4] It is evident from the graph of f(x) that it represents an arc of the parabola $y = 4x - x^2$ lying on the right side of its vertex (2, 4). Clearly, range of f = (-∞, 4]. Hence, X=(-∞, 4].
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