Given that $f(x)=x^{2}-3 x$ and $g(x)=x+8$, calculate $(f \circ g)(x)$ or $f(g(x))$ Submit Question

Step 1 ：Given functions \(f(x)=x^{2}-3 x\) and \(g(x)=x+8\)

Step 2 ：Find the composition of the functions \(f\) and \(g\), denoted as \(f(g(x))\), by substituting \(g(x)\) into \(f(x)\)

Step 3 ：\(f(g(x)) = (x+8)^{2}-3(x+8)\)

Step 4 ：Expand the square and the multiplication to get \(f(g(x)) = x^{2} + 16x + 64 - 3x - 24\)

Step 5 ：Simplify to get \(f(g(x)) = x^{2} + 13x + 40\)

Step 6 ：So, the composition of the functions \(f\) and \(g\) is \(\boxed{(f \circ g)(x) = x^{2} + 13x + 40}\)