For each of the following functions, indicate whether the function has a well$-$defined inverse. If the inverse is

well$-$defined, give the input$/$output relationship of $1.$ If it is not, explain, why not.

$6)$: $->.()=+3$

Name

PSU ID

Class $($Section$)$ IST $230.\_\_\_$

$7)$: $->.()=2+3$

$8)$: $->.()=2+3$

The drawing below gives arrow diagrams for two functions, f and g$.$

$$

$$

$$

$$

$$

$1$

$2$

$3$

$4$

$5$

$$: $->$: $->$

Use the diagrams above to answer the following questions:

$9)$ What is the domain of $?$

$10)$ What is the target of $?$

$11)$ Give the arrow diagram of $$

$12)$ What is the range of $?$

Show work for $5-9.$ Consider three functions f$,$ g$,$ and h$,$ whose domain and target are $.$ Let

$()=2()=2()=$

$5$

$13)$ Evaluate $(0)$

$14)$ Evaluate $(52)$

$15)$ Evaluate $(4)$Name

PSU ID

Class $($Section$)$ IST $230.\_\_\_$

$7)$: $->.()=2+3$

$8)$: $->.()=2+3$