Question 1005576
(f-g)(x) = 4x^3+3x^2-9x-9


f(x) - g(x) = 4x^3+3x^2-9x-9


[ f(x) ] - [ g(x) ] = 4x^3+3x^2-9x-9


[ 7x^3-7x^2+4x-6 ] - [ g(x) ] = 4x^3+3x^2-9x-9


[ 7x^3-7x^2+4x-6 ] - [ g(x) ]<font color=blue>-[ 7x^3-7x^2+4x-6 ]</font> = [4x^3+3x^2-9x-9] <font color=blue>-[ 7x^3-7x^2+4x-6 ]</font>


g(x) = [4x^3+3x^2-9x-9] - [ 7x^3-7x^2+4x-6 ]


g(x) = 4x^3+3x^2-9x-9 - 7x^3 + 7x^2 - 4x + 6


g(x) = (4x^3 - 7x^3)+(3x^2 + 7x^2) + (-9x - 4x) + (-9 + 6)


g(x) = (-3x^3)+(10x^2) + (-13x) + (-3)


g(x) = -3x^3+10x^2-13x-3




Final Answer:
g(x) = -3x^3+10x^2-13x-3