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AP EAMCET202124 Aug 2021Evening ShiftMathematicsFunctionsActual

[.] represents greatest integer function. Let g(x)=1+x-[x] and f(x)= array cl -3, & x 0 array .f(g(x)) is

Options

  1. Af(x)
  2. B-15
  3. C5
  4. D-3

Correct answer

C. 5

Step-by-step solution

We have, g(x)=1+x-[x]g(x)=1+ x [ x-[x]= x ] g(x) [1,2) [ x [0,1)] Now, f(x)= array cc -3, & x 0 array . f(g(x))=5 ; g(x) 1

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