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If f:R to R is defined by f(x) = x^(2)-3...

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

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Given that, `f(x)=x^(2)-3x+2`
` :. f{f(x)}=f(x^(2)-3x+2)`
` " " =(x^(2)-3x+2)^(2) -3(x^(2)-3x+2)+2`
` " "=x^(4) +9x^(2) +4 -6x^(3)-12x+4x^(2)-3x^(2)+9x-6+2`
` " " =x^(4)+10x^(2)-6x^(3)-3x`
`f{f(x)}=x^(4)-6x^(3)+10x^(2)-3x`
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