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MHT CET202121 Sep 2021Morning ShiftMathematicsFunctionsActual

If f(x)=3[x]+ x+1 , where [x] is greatest integer function of x and x is fractional part function of x , then f(-1.32)=

Options

  1. A-4.6
  2. B-2.6
  3. C-7.4
  4. D-3.4

Correct answer

B. -2.6

Step-by-step solution

aligned & f ( x )=3[ x ]+5 x +1 & x =-1.32 [ x ]=[-1.32]=-2 & Also x +1=-1.32+1=-0.32 & [ x +1]=[-0.32]=-1 and x +1 =0.68 & f ( x )=3(-2)+5(0.68) & =-6+3.4=-2.6 aligned

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