What is f^circ g(5) If f(x)=x^2-3 and g(x)=sqrt (x+3) 8 7 5 6 3.5555

## Step 1: Calculate $g(5)$<br />### Substitute $x=5$ into $g(x) = \sqrt{x+3}$. $g(5) = \sqrt{5+3} = \sqrt{8} = 2\sqrt{2}$.<br /><br />## Step 2: Calculate $f(g(5))$<br />### Substitute $g(5) = 2\sqrt{2}$ into $f(x) = x^2 - 3$. $f(g(5)) = f(2\sqrt{2}) = (2\sqrt{2})^2 - 3 = 8 - 3 = 5$.