SOLUTION: Given the functions f(x) = -x2 + 2x + 3 and g(x) = (x-2)2, find g(f(x)). Simplify to remove all parentheses. thanks for all the help!

Question 135260: Given the functions f(x) = -x2 + 2x + 3 and g(x) = (x-2)2, find g(f(x)). Simplify to remove all parentheses.
thanks for all the help!
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
I'm presuming that you meant: and

Just substitute everywhere you see in and start multiplying. Take care with your signs. Remember a minus sign distributes across parentheses when you remove any parentheses. Collect your like terms and you are done.
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