Math problem master come in please? - XP Math - Forums

 XP Math - Forums Math problem master come in please?
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 07-29-2007 #1 Bryan Guest   Posts: n/a Math problem master come in please? xâˆˆRf(xÂ²+1)=(xÂ²)Â²+5xÂ²+2f(xÂ²-1)=?
 07-29-2007 #2 soumyo Guest   Posts: n/a f(x^2+1)=(x^2+1)^2+3(x^2+1)-2(rearranging the terms)so f(x^2-1)=(x^2-1)^2+3(x^2-1)-2=x^4+x^2-4
 07-29-2007 #3 math_kp Guest   Posts: n/a if we put x^2+1 as t x^2 = t-1so f(x^2+1) = (x^2)^2 + 5x^2 + 2orf(t) = (t-1)^2 + 5(t-1)+ 1= t^2 -2 t +1 + 5 t - 5 + 2 = t^2 + 3 t -2now put t = x^2 -1 to getf(x^2-1) = (x^2-1)^2 + 3(x^2-1) - 2= x^4 - 2x^2 + 1 + 3x^2 - 3 -2= x^4 +x^2 - 4
 07-29-2007 #4 lukey7650 Guest   Posts: n/a x^4 + xÂ² - 4

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