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Answer :
Final answer:
The question asked for the difference of two mathematical functions f(x) and g(x). When the corresponding terms of the functions are subtracted, their difference simplifies to f(x) - g(x) = -x^(8) + 7x^(3) + 7x^(2) - 12.
Explanation:
The subject of this question is essentially asking to compute the algebraic difference of two functions in terms of x. In particular, we are to simplify the expression f(x) - g(x) given that:
- f(x) = -3x^(9) - x^(8) + 4x^(3) - 9
- g(x) = -3x^(9) - 3x^(3) - 7x^(2) + 3
The process of simplifying the difference between these two functions involves lining up the corresponding terms from each, and performing the subtraction. Therefore, f(x) - g(x) results in:
- -3x^(9) - (-3x^(9)) = 0
- -x^(8) - 0 = -x^(8)
- 4x^(3) - (-3x^(3)) = 7x^(3)
- 0 - (-7x^(2)) = 7x^(2)
- -9 - 3 = -12
So the simplified form of f(x) - g(x) = -x^(8) + 7x^(3) + 7x^(2) - 12.
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