Question

What is the inverse of the function F (X) equals 2X +1

Answer 1

Answer:
`f^(-1)(x)=(x-1)/(2)`

Explanation:

To find the inverse of a function start by replacing f(x) with x and replace the original x with y.

`f(x)=2x+1\\x=2y+1`

Now solve for y

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

Finally, replace y with the inverse of f(x),
`f^(-1)(x)`