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KCET2015MathematicsThree Dimensional Geometry

If ( f: R R ) is defined by ( f(x)= x x²+1 ) find ( f(f(2)) )

Options

  1. A( 1 29 )
  2. B( 10 29 )
  3. C( 29 10 )
  4. D( 5 29 )

Correct answer

B. ( 10 29 )

Step-by-step solution

Given that, ( f(x)= x x²+1 (1) ) At ( x=2 ), we have ( f(2)= 2 2²+1 = 2 5 ) So, ( f(f(2))= 2 5 ( 2 5 )²+1 ) ( = 2 5 4 25 +1 = 10 4+25 = 10 29 )

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