A network administrator at a large corporation is responsible for managing

companys' network to ensure that it runs smoothly and efficiently. To do this, he needs to analyse

the amount of data being transferred across the network at any given time. Given that the function

that represents the amount of data being transferred across the network at a given time is

$f(t)=\sqrt[\phantom{2}]{3-t}-\sqrt[\phantom{2}]{2+t}$

where $t$ represents time.

a$.$ Calculate the domain of the function using the function mentioned in the scenario above. $(6$

Marks$)$

b$.$ What does the domain represent in the context of the scenario given? $(2$ Marks$)$

c$.$ Determine if there is anything wrong with the results found in $($a$).$ Comment on your answer. $(2$

Marks$)$