$f(x)=7x8,g(x)=x-2$

$($a$)$ Find $fg.$

$(fg)(x)=$

$$

Determine the domain of the new function. $($Enter your answer using interval notation.$)$

$$

$($b$)$ Find $f-g.$

$(f-g)(x)=$

$$

Determine the domain of the new function. $($Enter your answer using interval notation.$)$

$$

$($c$)$ Find $f*g.$

$(f*g)(x)=$

Determine the domain of the new function. $($Enter your answer using interval notation.$)$

$$

$($d$)$ Find $\frac{f}{g}$

$(\frac{f}{g})(x)=$

$$

Determine the domain of the new function. $($Enter your answer using interval notation.$)$