The difference between the polynomials of both functions, f(x) - g(x) is: [tex]\mathbf{-2x^3 - 6x^2 + 9x}[/tex]
Given the two functions:
[tex]f (x)=3x^3 -4x ^2 +6 x \\\\g( x )= 5x ^ 3 + 2x ^2 - 3x[/tex]
To find f(x) - g(x), we are to find the difference of the polynomials of both functions.
f(x) - g(x) = [tex](3x^3 -4x ^2 +6 x) - (5x ^ 3 + 2x ^2 - 3x)[/tex]
Open the bracket. Use the minus sign to multiply every term you have in the bracket.
f(x) - g(x) = [tex]3x^3 -4x ^2 +6 x - 5x ^ 3 - 2x ^2 + 3x[/tex]
f(x) - g(x) = [tex]\mathbf{-2x^3 - 6x^2 + 9x}[/tex]
Therefore, the difference between the polynomials of both functions, f(x) - g(x) is: [tex]\mathbf{-2x^3 - 6x^2 + 9x}[/tex]
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https://brainly.com/question/20258164
