CUET Preparation Today
If the function f : (−∞, ∞) → B defined by f(x) = -x2 + 6x - 8 is onto, then B is equal to : |
(–∞, 1] (–∞, 1) (–∞, 2] None of these |
(–∞, 1] |
We have to find B such that f(x) because onto ⇒ B should be equal to range of f(x). Now f(x) = 1 – (x – 3)2 ⇒ Range = (–∞, 1] = B Hence (1) is the correct answer. |
