Question

Can someone help me with this question from my homework, please, thank you.

Answer 1

The inverse function,
`f^(-1)`, turns the function inside-out. What was an input for
`f` becomes an output for
`f^(-1)` and vice versa.

To find the formula for
`f^(-1)`, you need to solve the original function
`N=7000-400t` for
`t`. (Turn
`f` inside out.)

`N=7000-400t`

`N-7000=-400t`

`(N-7000)/(-400)=t`

or

`t=-(1)/(400)N+(70)/(4)`

We can then put in the function notation:

`t=f^(-1)(N)=-(1)/(400)N+(70)/(4)`

This inverse function will tell you the year that you have a particular bat population, N. (The third option in Part B.)