Question

Last question I need help with. (40 points)

Answer 1

Answer:

hello :

$(f-g)(x) = x^{4} - x^{3} - 4x^{2} - 3$

Step-by-step 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

(f - g)(x) = x^{4} - x^{3} - 4x^{2} -3$

Answer 2

Answer:

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

Step-by-step 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