Question

Find the inverse. (SHOW WORK)

Answer 1

y =
`3^((x+1))` -1

Explanation:

x =
`log_(3)`(y + 1) - 1

x + 1 = log₃(y + 1)

`3^((x+1))` = y + 1

`3^((x+1))` -1 = y

Answer 2

Let f(x) = y

y = log3(x+1) - 1

Plug x in y and y in x

x = log3(y+1) - 1

x + 1 = log3(y+1)

3^(x+1) - 1 = y

`y = 3^(x+1)` - 1

This is the inverse function.

Hope it helps! xxxx