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AP EAMCET2015MathematicsFunctions

If A= x R / 4 x 3 and f(x)= x-x , then f(A) is equal to

Options

  1. A[ 3 2 - 3 , 1 2 - 4 ]
  2. B[ -1 2 - 4 , 3 2 - 3 ]
  3. C[- 3 ,- 4 ]
  4. D[ 4 , 3 ]

Correct answer

A. [ 3 2 - 3 , 1 2 - 4 ]

Step-by-step solution

Given, f(x)= x-x Here, 4 x 3 f ( 4 ) f(x) f ( 3 ) ( f(x) . is decreasing function in .x [ 4 , 3 ] ) aligned & 4 - 4 f(x) 3 - 3 & 1 2 - 4 f(x) 3 2 - 3 & f(A) [ 3 2 - 3 1 2 - 4 ] aligned

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