Question

Find the inverse of f(x) = (-1/5)x -1 and graph the function and its inverse.

Please help for 20 POINTS!

Answer 1

we are given

`f(x)=-(1)/(5) x-1`

Inverse function:

we can set f(x)=y

`y=-(1)/(5) x-1`

now, we can switch x and y

`x=-(1)/(5) y-1`

now, we can solve for y

`5x=-5*(1)/(5) y-5`

`5x=-y-5`

`y=-5x-5`

`f^(-1)=-5x-5`.........Answer

graph:

we can draw graph