Let f(x)=x^2-6 and g(x)=13-x Perform the composition or operation indicated. (fg)(5) (fg)(5)= square

To find $(fg)(5)$, we need to perform the composition of the functions $f(x)$ and $g(x)$.<br /><br />Given:<br />$f(x) = x^2 - 6$<br />$g(x) = 13 - x$<br /><br />Step 1: Evaluate $g(5)$.<br />$g(5) = 13 - 5 = 8$<br /><br />Step 2: Evaluate $f(g(5))$.<br />$f(g(5)) = f(8) = 8^2 - 6 = 64 - 6 = 58$<br /><br />Therefore, $(fg)(5) = 58$.