SOLUTION: Let f(x) = 3x^2 and g(x) = x - (2/x) Evaluate: A.)(f-g)(3) B.)(f/g)(3) C.)(g of f)(3)

Algebra ->  Formulas -> SOLUTION: Let f(x) = 3x^2 and g(x) = x - (2/x) Evaluate: A.)(f-g)(3) B.)(f/g)(3) C.)(g of f)(3)      Log On


   

Question 67386This question is from textbook Advanced mathematics
: Let f(x) = 3x^2 and g(x) = x - (2/x) Evaluate:
A.)(f-g)(3)
B.)(f/g)(3)
C.)(g of f)(3) This question is from textbook Advanced mathematics

Answer by algebrapro18(249) About Me  (Show Source):
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A.)(f-g)(3)
(f-g)
= 3x^2-(x-2/x)
=3x^2-x+2/x
=x(3x^2-x+2/x)
=3x^3-x^2+2

(f-g)(3)
=3(3x^3-x^2+2)
=9x^3-3x^2+6

B.)(f/g)(3)
(f/g)
=3x^2/(x-2/x)
=3x^2/(x(x-2/x))
=3x^2/(x^2-2)

(f/g)(3)
=3(3x^2/(x^2-2))
=9x^2/(x^2-2)

C.)(g of f)(3)
g(f(x))
=3x^2-2/3x^2
=3x^2(3x^2-2/3x^2)
9x^4-2

(g of f)(3)
=3(9x^4-2)
27x^3-6