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KVPY2014MathematicsContinuity and Differentiability

Consider the function f(x)= array ll x+5 x-2 & if x 2 1 & if x=2 array Then f ( f ( x )) is discontinuous

Options

  1. Aat all real numbers
  2. Bat exactly two values of x
  3. Cat exactly one value of x
  4. Dat exactly three values of x

Correct answer

B. at exactly two values of x

Step-by-step solution

f(x)= array ll x+5 x-2 , & x 2 1, & x=2 array .f(x) is discontinuous at x=2f(x)=2 x+5 x-2 =2 array l x+5=2 x-4 x=9 array

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