Question

Which function is the inverse of f(x) = 2x + 3?

Answer 1

`y=(x-3)/(2)`

Explanation:

The given function is

`f(x)=2x+3`

To find the inverse of this function, we have to replace
`f(x)` for
`y`, and then isolate
`x`, as follows

`y=2x+3\\y-3=2x\\2x=y-3\\x=(y-3)/(2)`

Then, we have to switch variables, as follows

`y=(x-3)/(2)`

Therefore, the inverse of the given function is

`y=(x-3)/(2)`

The graph attached shows both functions. The blue line is the inverse of
`f(x)`