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x+ 3 x is maximum when x is equal to

Options

  1. A2
  2. B3
  3. C4
  4. D6

Correct answer

B. 3

Step-by-step solution

Given expression is f(x) = x + 3 x Multiplying and dividing by 1^2 + ( 3 )^2 = 2 f(x) = 2 ( 1 2 x + 3 2 x ) f(x) = 2 ( 3 x + 3 x ) f(x) = 2 ( x - 3 ) The maximum value of ( x - 3 ) is 1 , which occurs when x - 3 = 0 x = 3 Answer: 3

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