Question

Last question I need help with. (40 points)

Answer 1

hello :

`(f-g)(x) = x^(4) - x^(3) - 4x^(2) - 3`

Explanation:

`(f - g)(x) = f(x) - g(x) = (x^(4) -x^(2) +9) - (x^(3) +3x^(2) +12)             = x^(4) -x^(2) +9 - x^(3) - 3x^(2) - 12</p><p>(f - g)(x) = x^(4) - x^(3) - 4x^(2) -3`

Answer 2

x^4 -x^3 -4x^2 -3

Explanation:

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

g(x) = x^3 +3x^2 +12

We are subtracting

f(x) -g(x) =x^4 -x^2 +9 - ( x^3 +3x^2 +12)

Distribute the minus sign

x^4 -x^2 +9 - x^3 -3x^2 -12

I like to line them up vertically

x^4 -x^2 +9

- x^3 -3x^2 -12

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x^4 -x^3 -4x^2 -3