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AP EAMCET201920 Apr 2019Evening ShiftMathematicsTrigonometric Ratios & IdentitiesActual

If = 6 and x= [ ( 4 + ) ] , then h(x)=

Options

  1. A3
  2. B1 3
  3. C- 3
  4. D- 1 3

Correct answer

C. - 3

Step-by-step solution

aligned & At = 6 , x= [ ( 4 + ) ] & x= [ ( 4 + 6 ) ] & e^x= / 4 / 6-1 / 6+ / 4 & e^x= 3 -1 3 +1 & e^ -x = 3 +1 3 -1 & h(x)= e^x-e^ -x 2 = 3 -1 3 +1 - 3 +1 3 -1 2 & = (3+1-2 3 )-(3+1+2 3 ) 4 =- 4 3 4 =- 3 & aligned Hence, option (c) is correct.

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