Question

How do you find the inverse of `Y=5X-1` and is it a function?

Answer 1

`f^(-1)(x)=(x+1)/5` , it is a function since one output `f^(-1)(x)`for each input of `x` is obtained by the equation.

Explanation:

`f(x)= 5 x-1 or y = 5 x-1`

`x = 5 y-1` [ switched between `x` and `y` then solved for `y`]

`5 y= x +1 or y = (x+1)/5`

`:. f^(-1)(x)=(x+1)/5` , it is a function since one output `f(x)`

for each input of `x` is obtained by the equation. [Ans]