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The largest value of $\min (2 + x^{2} , 6 - 3x)$ when $x > 0$ is

  1. $1$ 
  2. $2$ 
  3. $3$ 
  4. $4$
asked in Quantitative Aptitude by (4.1k points)   | 30 views
what is mm here? is it minimum ?
it is min. Corrected now

1 Answer

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For minimum, 

equating

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.

it means the largest value of the function  min( 2 + x^2 , 6 − 3x) is 3

The correct option is C.

answered by (1.5k points)  

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