The Fifth Gate

After traversing your continuous path, you finally arrive at Gate $5.$ Your computer reads the gate's directions to

you. "The passcode for this gate is the number found by first entering $m^{\text{'}}(-1)$ and then entering $n^{\text{'}}(7)$ using

the definitions below." What values do you provide to your computer?

$f(x)=\{x^8-2x)$

$g(x)=(x^2+8x-104)$

$h(x)=2x-13$

$m(x)=f(x)*g(x)$

$n(x)=\frac{g(x)}{h(x)}$