1.

If `f:R to R` is defined by `f(x) = x^(2)-3x+2,` write `f{f(x)}`.

Answer» We have
`(f o f) (x) = f{f(x)}= f(x^(2) -3x +2) =f(y)` where `y=(x^(2)-3x+2)`
`=(y^(2) -3y +2)`
` =(x^(2) -3x +2)^(2) -3 (x^(2) -3x +2)+2`
` -=(x^(4) -6x^(3)+ 10x^(2) -3x).`


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