What is (f − g)(x)?

f(x) = x^4 − x^2 + 9

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

(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)

Distributing the negative over the parentheses:

=  x^4 - x^2 + 9 - x^3 - 3x^2 - 12

Simplifying like terms:

= x^4 - x^3 - 4x^2 - 3.  (answer).

b. x + 1

step-by-step explanation:

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