Mathematics - Functions Question with Solution | TestHub

$f(x)={}^{7-x}{P}_{x-3}$ $7-x\ge 0\Rightarrow x\le 7$ $x-3\ge 0\Rightarrow x\ge 3$, and $7-x\ge x-3\Rightarrow x\le 5$ $\Rightarrow 3\le x\le 5\Rightarrow x=3,4,5\Rightarrow$ Range is $\{1,2,3\}$