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AP EAMCET202315 May 2023Evening ShiftMathematicsContinuity and DifferentiabilityActual

Let [x] represents the greatest integer not more than x . The discontinuous points of the function f(x)= 5+[x] 11+[x]-6 2+[x] lies in the interval

Options

  1. A[0, )
  2. B[5,8]
  3. C[7,8)
  4. D[7,10)

Correct answer

C. [7,8)

Step-by-step solution

Given the function, f(x)= 5+[x] 11+[x]-6 2+[x] for discontinuous points, if x>0 aligned & 11+[x]-6 2+[x] =0 (11+[x])^2=36(2+[x]) & [x]^2-14[x]+49=0 ([x]-7)^2=0 & [x]=7 x [7,8) aligned

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