It is given that the function f:R→R is defined as f( x )= x 2 −3x+2.
The value of function f( f( x ) ) is,
f( f( x ) )=f( x 2 −3x+2 ) = ( x 2 −3x+2 ) 2 −3( x 2 −3x+2 )+2 = x 4 +9 x 2 +4−6 x 3 −12x+4 x 2 −3 x 2 +9x−6+2 = x 4 −6 x 3 +10 x 2 −3x
Thus, the value of f( f( x ) ) is x 4 −6 x 3 +10 x 2 −3x.
If f:R→R is defined by f(x)=x2−3x+2, write f{f(x)}.
If f:R->R is defined as f(x)=x2-3x+2 .
Find f(f(x))