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

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(39620) (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,

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

--

RELATED QUESTIONS
3.14 Given f(x)=x-4 and g(x)=4x^2, find f+g, f-g, fg, and f/g. Determine the domain... (answered by ikleyn)

3.14 Given that f(x)=2x+7 and g(x)=5x^2, find f+g, f-g, fg, and f/g. Determine the... (answered by nerdybill)

f(x)=5x-4 and g(x)=x^2+3. Find the following: (g-f)(x) (fg)(x) domain of... (answered by Theo)

Find the functions f + g, f − g, fg, and f/g f(x)=x^2+3;g(x)= √x+3 f+g= (answered by swincher4391)

Consider the following functions. f(x) = √(81 − x^2), g(x) = √(x^2... (answered by harpazo)

Consider the following functions. f(x) = x^2 + 5x, g(x) = 7x^2 − 1 Find (f +... (answered by harpazo)

Given that f(x)= x2(squared) - 3 and g(x) 2x +1, find each of the following if it exists. (answered by josgarithmetic)

Please help me to find the following functions. Let f(x)=x=4 and g(x) =x^2+8x-3 a.... (answered by solver91311)

given f(x)=-3x^2+x and g(x)=5, find f+g, f-g, fg, and... (answered by josgarithmetic)