tex] 2)8 3)-8 4)-10...

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Функция задана формулой f(x)= [tex] x^{2} [/tex]+[tex] \sqrt{|x-1|+2} [/tex]. вычислите f(-1)-f(3). 1)[tex] \sqrt{2} [/tex] 2)8 3)-8 4)-10

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Apofeoz $f(x)=x^2+\sqrt{|x-1|+2},\\\\ f(-1)-f(3)=?,\\\\f(-1)=(-1)^2+\sqrt{|-1-1|+2}=1+\sqrt{|-2|+2}=\\=1+\sqrt{2+2}=1+2=3;\\\\f(3)=3^2+\sqrt{|3-1|+2}=9+\sqrt{|2|+2}=9+\sqrt{4}=11;\\\\3-11=-8.$

Ответ: 3) -8.

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