Question

What is (f - g)(x)?

f (x) = 24 – 22 + 9
9(2) = 23 + 3x2 + 12


(f - g)(x) = ???

Answer 1

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

Explanation:

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

First, take the negative of every term (including the label g(x) ) of g(x), obtaining -g(x) = -x^3 - 3x^2 - 12.

Now combine this result with f(x):

f(x)= x^4 - 0x^3 - x^2 + 9

-g(x) = - 1x^3 - 3x^2 - 12

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