Question

Question #92c0c

Answer 1

I am convinced I have answered this one before!

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

Explanation:

Given:`" "f(x)=x+1/2`

Set this equal to y giving:

`" "y=x+1/2`

Subtract `1/2` from both sides

`" "y-1/2=x+1/2-1/2`

`" "y-1/2=x+0`

Write as:

`x=y-1/2`
'~~~~~~~~~~~~~~~~~~~~~~~
Where there is a `x` write `y` and where there is a `y` write `x`.

`=>y=x-1/2`

Thus `color(blue)(f^(-1)(x)-> y=x-1/2)`

This will be a reflection about `y=x` of `f(x)`