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What is (f-g)(x) f(x)= x^4-3x^2+5x-7 g(x)= x^3-3x^2+3x-1

2 Answers

2 votes

Explanation:

x^4-3x^2+5x-7 – x^3-3x^2+3x-1

x^4-3x^2+5x-7 – x^3+3x^2-3x+1

x^4-3x^2+3x^2-3x +5x -x^3 -7+1

x^4+2x -x^3 -6

x^4-x^3+2x-6

User OpenMinded
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5.2k points
7 votes

Answer:

x^4 - x^3 + 2x -6

Explanation:

(f-g)(x) = x^4-3x^2+5x-7 - ( x^3-3x^2+3x-1 ) = x^4 - 3x^2+5x-7 - x^3 + 3x^2 - 3x + 1 = x^4 - x^3 + 2x -6

User LarsH
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5.8k points