Question

PLEASE HELP!

Find the function inverse ,f-1(x) , of y = 2x + 1.

Answer 1

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

Explanation:

It is called an inverse or reciprocal function of
`f` to another function
`f^(-1)` that fulfills that:

If
`f(a)=b`, then
`f^(-1) (b)=a`

To calculate the inverse of the function
`y=2x+1`

`f(x)=y`

So, rewritting the function

`f(x)=2x+1`

Changing the x for y

`x=2y+1`

Let's clear y

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

Ordering the function above

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

So, the inverse of the function
`f(x)=2x+1` is:

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

.