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KCET2023MathematicsFunctions

If the function is f(x)= 1 x+2 , then the point of discontinuity of the composite function y=f(f(x)) is

Options

  1. A5 2
  2. B2 5
  3. C1 2
  4. D-5 2

Correct answer

D. -5 2

Step-by-step solution

y=f(f(x))=f ( 1 2+x )= 1 2+ 1 2+x = 2+x 4+2 x+1 = 2+x 5+2 x This function is not continuous at x=-2 (because f(x) is not defined at this point) and x=- 5 2 because f(f(x)) is not defined at this point.

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