Respuesta :

Answer:

A) [tex]f^{-1}[/tex] = 3 - 5x

Step-by-step explanation:

To find the inverse, we will set the function equal to y, switch the x and y, then solve for the y.

y = [tex]\frac{3 - x}{5}[/tex]

x = [tex]\frac{3 - y}{5}[/tex]

5x = 3 - y

y = -5x + 3

       \/

        3 - 5x

Which gives us our answer of option A, [tex]f^{-1}[/tex] = 3 - 5x

Have a nice day!

  I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Step-by-step explanation:

f(x) = 3-x/5

y = 3-x/5

x = 3-y/5

5x = 3-y

y = 3 - 5x

f-¹(x) = 3-5x