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DrMartens
@DrMartens
June 2022
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Срочно! помогите плз. даю 25 балов
если f(x)=3x+2/x-5 то разность f(x+2)-f(x+8) приводится к виду
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uekmyfhfp
F(x) = (3x+2) /(x-5) ;
f(x+2) = (3(x+2)+2) /((x+2) -5) = (3x+8) /(x-3);
f(x+8) = (3*(x+8) +2) /((x+8) - 5)=(3x+26) /(x+3);
f(x+2 ) - f(x+8) =
= (3x+8) /(x-3) - (3x+26) /(x+3)=
=(3x+8)*(x+3) - (3x+26)*(x-3) /(x-3)(x+3) =
(3x^2 + 17x + 24 - 3x^2 - 17x +78) /(x-3)(x+3) =102/(x^ -9)
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Answers & Comments
f(x+2) = (3(x+2)+2) /((x+2) -5) = (3x+8) /(x-3);
f(x+8) = (3*(x+8) +2) /((x+8) - 5)=(3x+26) /(x+3);
f(x+2 ) - f(x+8) =
= (3x+8) /(x-3) - (3x+26) /(x+3)=
=(3x+8)*(x+3) - (3x+26)*(x-3) /(x-3)(x+3) =
(3x^2 + 17x + 24 - 3x^2 - 17x +78) /(x-3)(x+3) =102/(x^ -9)