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Given that f(x) = x^{2}+2x+5 and g(x) =x+8, what is the value of f(g(5)) -g(f(5))?

May 26, 2021

You just plug! Here's a start: $g(5)=5+8=13$ and $f(5)=5^2+2\cdot 5+5=25+10+5=40$.