Given functions \(f(x)=5x+1\) and \(g(x)=x^2-2\), what is the value of \(f(g(-3))\) ?
\(-198\)
\(-54\)
\(-39\)
\(36\)
\(194\)
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$$ g(-3) = (-3)^2-2 $$ $$ g(-3) = 9 -2 = 7 $$ $$ f(g(-3)) = f(7) = 5(7)+1 = \boxed{36} $$