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MHT CET202123 Sep 2021Evening ShiftMathematicsFunctionsActual

Range of the function f ( x )=3+2^ x +4^ x is

Options

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

Correct answer

A. (3, )

Step-by-step solution

f(x)=3+2^x+4^x=y Let 2^ x = a 4^ x = a ^2 a ^2+ a +(3- y )=0 As a R , we write aligned & (1)^2-4(1)(3- y ) 0 & 1-12+4 y 0 4 y 11 y 11 4 aligned Also 2^x+4^x>0 y 3 Range from given option is (3, )

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