Question

PLEASE HELP!!!!!!!

f(x)=x^2−3x+9
g(x)=3x^3+2x^2−4x−9

Find (f−g)(x)

Select one:
a. −3x^3−x^2+x+18

b. 3x^3+3x^2−7x

c. 3x^3+x^2−x−18

d. 3x^3−x^2−x

Answer 1

Answer: Choice A) -3x^3-x^2+x+18

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Work Shown:

(f-g)(x) = f(x) - g(x)
(f-g)(x) = [ f(x) ] - [ g(x) ]
(f-g)(x) = [ x^2-3x+9 ] - [ 3x^3+2x^2-4x-9 ]
(f-g)(x) = x^2-3x+9 -3x^3-2x^2+4x+9
(f-g)(x) = -3x^3+(x^2-2x^2)+(-3x+4x)+(9+9)
(f-g)(x) = -3x^3-x^2+x+18