Question

Question #3877e

Answer 1

Assumption:
The question is - find `f^(-1)(x) " given that "f(x)=x+1/2`

`y=x-1/2`

Explanation:

Write as: `y=x+1/2`

Subtract `1/2` from both sides

`y-1/2=x`

Write as: `x=y-1/2` ....................(1)

In equation (1) where there is a `x` write `y` and where there is a `y` write `x` giving:

`y=x-1/2`

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What this process does is that it reflects the function about the line `y=x`