Largest value of min(2 + x^2, 6 - 3x), when x > 0, is

Largest value of min(2 + x2, 6 - 3x), when x > 0, is

  1. 1
  2. 2
  3. 3
  4. 4

Answer

For minimum,

2 + x2 = 6 - 3x

x2 + 3x - 4 = 0

x = 1, -4

Since x > 0, so value occurs at x = 1.

At x = 1, 6 - 3x = 3.

The correct option is C.