1.

If `f(x)=3x^(3)-5x^(2)+10`, find `f(x-1)`.

Answer» We have, `f(x)=3x^(3)-5x^(2)+10" "....(i)`
Replacing x by (x-1) in (i), we get
`f(x-1)=3(x-1)^(3)-5(x-1)^(2)+10`
`=3{x^(3)-1-3x(x-1)}-5(x^(2)-2x+1)+10`
`=3(x^(3)-3x^(2)+3x(x-1)-5(x^(2)-2x+1)+10`
`=3x^(3)-14x^(2)+19x+2`.
`:.f(x-1)=3x^(3)-14x^(2)+19x+2`.


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