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TS EAMCET202410 May 2024Morning ShiftMathematicsFunctionsActual

If the real valued function f(x)= ⁻¹ (x^2-1 )-3 ₃ (3^x-2 ) is not defined for all x (- , a] (b, ) then 3^a+b^2=

Options

  1. A5
  2. B6
  3. C3
  4. D4

Correct answer

D. 4

Step-by-step solution

f(x)= ⁻¹ (x^2-1 )-3 ₃ (3^x-2 ) For domain of ⁻¹ (x^2-1 ) : -1 x^2-1 1 0 x^2 ( 2 ) - 2 x 2 ...(i) For domain of -3 ₃ (3^x-2 ) : 3^x-2 0 x ₃ 2 ...(ii) Domain of f(x)=x [- 2 , 2 ] x ₃ 2=x [ ₃ 2, 2 ]f(x) is not defined for x (- , ₃ 2 ] ( 2 , ) On comparing a= ₃ 2, b= 2 3^a+b^2=2+( 2 )^2=4 .

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