Question

What is the inverse of the function f(x)=2x+1?​

Answer 1

Option 1.

Explanation:

`y=2x+1`

`x=2y+1`

`x-1=2y`

`(x-1)/(2) = (2y)/(2)`

`(x-1)/(2) = y`

`(1)/(2)x -(1)/(2) = y`

Answer 2

see the attachment

Explanation:

You can find the inverse by swapping the variables and solving for y.

y = f(x) . . . . . original function

x = f(y) . . . . . variables swapped

x = 2y +1

x -1 = 2y . . . subtract 1

(x-1)/2 = y . . . divide by 2

y = (1/2)x -1/2 . . . expand

If the inverse function is named h(x), then it is ...

h(x) = x/2 -1/2