SOLUTION: If f(x)=-x^2+3x+5 and g(x)=-|3-x|, determine f(g(5)).

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Question 164403: If f(x)=-x^2+3x+5 and g(x)=-|3-x|, determine f(g(5)).
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
First find g(5).
g%285%29=-abs%283-x%29=-abs%283-5%29=-abs%28-2%29=-2
Then find f(g(5)) or f(-2),
f%28g%285%29%29=f%28-2%29=-%28-2%29%5E2%2B3%28-2%29%2B5=-4-6%2B5=-5
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f(g(5))=-5