BITSAT2010MathematicsTrigonometric EquationsActual
If (f(x)= x 1+x^2 ), then (fof of ()(x) ) is
Options
- A( 3 x 1+x^2 )
- B( x 1+3 x ^2 )
- C( 3 x 1-x^2 )
- DNone of these
Correct answer
B. ( x 1+3 x ^2 )
Step-by-step solution
( f ( x )= x 1+ x ^2 ) ((f o f)(x)= x 1+x^2 1+ x^2 1+x^2 = x 2 x^2+1 ) ((fofof)(x)= x 2 x^2+1 1+ x^2 2 x^2+1 = x 1+3 x^2 )