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AP EAMCET2013MathematicsFunctions

The value of x R [ (1.6)^ 1-x^2 -(0.625)^ 6(1+x) ] R is

Options

  1. A(- ,-1) (7, )
  2. B(-1,5)
  3. C(1,7)
  4. D(-1,7)

Correct answer

A. (- ,-1) (7, )

Step-by-step solution

.x R [(1.6)^ 1-x^2 -(0.625)^ 6(1+x) ] R Now, (1.6)^ 1-x^2 >(0.625)^ 6(1+x) array ll & (1.6)^ 1-x^2 >(0.625)^ 6(1+x) & = ( 8 5 )^ 1-x^2 > ( 8 5 )^ -6(1+x) & 1-x^2>-6(1+x) & x^2-6 x-7 < 0 & (x-7)(x+1) < 0 & x (- ,-1) (7, ) array Hence, gathered .x R | [(1.6)^ 1-x^2 -(0.625)^ 6(1+x) ] | R =(- ,-1) (7, ) gathered

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