Question

Find the domain and range of the following function:
${{}^{7-x}P}_{x-3}$

Answer 1

${}^{7-x}{P}_{x-3}$

Domain $\to 7-x>0$

$x<7$

$x-3\ge 0$

$x\ge 3$

Also $7-x\ge x-3$

$10\ge 2x$

$x\le 5$

$xϵ[3,5]$

Range $\in (-\infty ,\infty )$