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If f(x)=x²-3x - 4 and g(x) = x² + x, what is (f + g)(x)?
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If f(x)=x²-3x - 4 and g(x) = x² + x, what is (f + g)(x)?

User Tigrou
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1 Answer

6 votes

Answer: (f+g)(x)=2(x-2)(x+1).

Explanation:


f(x)=x^2-3x-4\ \ \ \ \ g(x)=x^2+x\\(f+g)(x)=(x^2-3x-4)+(x^2+x)\\(f+g)(x)=x^2-3x-4+x^2+x\\(f+g)(x)=2x^2-2x-4\\(f+g)(x)=2*(x^2-x-2)\\(f+g)(x)=2*(x^2-2x+x-2)\\(f+g)(x)=2*(x*(x-2)+(x-2))\\(f+g)(x)=2*(x-2)*(x+1).

User Bill Patterson
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