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Given that y(x)=x^(2)+x+1, write down y(x+2)

Given that y(x)=x2+x+1 y(x)=x^{2}+x+1 , write down y(x+2) y(x+2)

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Sin, cos, and tan of special anglesright chevron icon

Full solution

Q. Given that y(x)=x2+x+1 y(x)=x^{2}+x+1 , write down y(x+2) y(x+2)
  1. Substitute x+2x+2: Substitute x+2x+2 into the equation y(x)=x2+x+1y(x) = x^2 + x + 1.\newliney(x+2)=(x+2)2+(x+2)+1y(x+2) = (x+2)^2 + (x+2) + 1
  2. Expand square term: Expand the square term (x+2)2(x+2)^2.y(x+2)=x2+4x+4+x+2+1y(x+2) = x^2 + 4x + 4 + x + 2 + 1
  3. Combine like terms: Combine like terms.\newliney(x+2)=x2+5x+7y(x+2) = x^2 + 5x + 7

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