SOLUTION: Find each of the following for the fundctions f(x)=x^2-2 and g(x)=x^2+2 (fg)(2)= (f-g)(x)= (f*G)(x)= Please note that the star in between the f and g at the bottom

Algebra ->  Functions -> SOLUTION: Find each of the following for the fundctions f(x)=x^2-2 and g(x)=x^2+2 (fg)(2)= (f-g)(x)= (f*G)(x)= Please note that the star in between the f and g at the bottom       Log On


   

Question 1046943: Find each of the following for the fundctions f(x)=x^2-2 and g(x)=x^2+2
(fg)(2)=
(f-g)(x)=

(f*G)(x)=

Please note that the star in between the f and g at the bottom should be a small circle. However, my computer does not permit me to write it that way.
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Your last listing can be shown as f(G(x)), but the function given is NOT G, but g. You want to show f(g(x)). This would be, using the given functions, %28x%5E2%2B2%29%5E2-2
x%5E4%2B4x%5E2%2B4-2
highlight%28x%5E4%2B4x%5E2%2B2%29

The first two listings are not function compositions as "composite", but simpler algebraic combinations.


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%28fg%29%282%29=f%282%29%2Ag%282%29=%282%5E2-2%29%282%5E2%2B2%29

%28f-g%29%28x%29=f%28x%29-g%28x%29