SOLUTION: If F(x) = 3x^2 - 5x and G(x) = 2x - 4, find G of F(2) and F of G(2) I'm having trouble with this problem. Any help is appreciated. Thanks.

Question 81404: If F(x) = 3x^2 - 5x and G(x) = 2x - 4, find G of F(2) and F of G(2)
I'm having trouble with this problem. Any help is appreciated. Thanks.
Answer by SMM52091(3) (Show Source): You can put this solution on YOUR website!
In order to find g(f(2)), just find f(2) and then g() it. For example...

Please note that f(2) equaling 2 is just a coincidence.
So the question asks for g(f(2)). Since f(2) equals 2, then g(f(2)) is the same thing as g(2). Now apply the g formula.

So g(f(2)) = 0.
Now just because g(f(2)) equals 0 doesnt mean f(g(2)) equals 0. You need to redo it for the second problem, just in a different way. Find g(2) and then f() it.

Since g(2) = 0, then f(g(2)) is the same thing as f(0). So find the function of 0 with the f(x) formula.

So f(g(2)) = 0
Hope I could help
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