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Answer :
To subtract g(x) from f(x), combine like terms of each polynomial. The simplified result of f(x) - g(x) is -x^8 + 7x^3 + 5x^2 - 7.
The student's question provided initially lists specific functions and then asks to find the simplified result of the subtraction f(x) - g(x). However, the functions f(x) and g(x) that follow are not consistent with the initial inquiry. To proceed with the calculation, we must assume that the functions f(x) and g(x) to be used for f(x) - g(x) are given correctly in the initial text, i.e., f(x) = -9x9 - x8 + 4x3 - 9 and g(x) = -9x9 - 3x3 - 5x2 + 2.
To find f(x) - g(x), we subtract the terms of g(x) from the terms of f(x), combining like terms where they exist:
f(x) - g(x) = (-9x9 - x8 + 4x3 - 9) - (-9x9 - 3x3 - 5x2 + 2)
Simplifying this expression, we have:
f(x) - g(x) = -x8 + (4x3 - (-3x3)) + 5x2 - (9 - 2)
f(x) - g(x) = -x8 + 7x3 + 5x2 - 7
This result is the simplified form of f(x) - g(x).
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