The-maximum-value-of-f-x-2-x-2-2x-is-equal-to-1-6-2-4-3-5-4-3-

Question Number 18574 by Tinkutara last updated on 25/Jul/17

The maximum value of f (x) = 2 - ∣ x ∣^{2}

- 2 x is equal to

(1) 6

(2) 4

(3) 5

(4) 3

Answered by prakash jain last updated on 25/Jul/17

∣ x ∣^{2} = x^{2}

2 - x^{2} - 2 x

= 3 - x^{2} - 2 x - 1

= 3 - {(x + 1)}^{2}

{(x + 1)}^{2} ⩾ 0

m a x v a l u e = 3

Commented by Tinkutara last updated on 25/Jul/17

Thanks Sir!