Question

What is (f−g)(x)?

f(x)=x^4−x^2+9
g(x)=x^3+3x^2+12

(f−g)(x)=

Answer 1

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

Explanation:

f(x)=x^4−x^2+9

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

(f−g)(x)= x^4−x^2+9 - (x^3+3x^2+12)

Distribute the minus sign

(f−g)(x)= 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