Question

How do you find the inverse of `f(x)= (1/2)x + 4` and is it a function?

Answer 1

`y=2x-8` is the inverse of `y=1/2x+4` and it is a linear function.

Explanation:

From the given
`y=1/2x+4`

interchange the variables first

`x=1/2y+4`

solve for y in terms of x

`y=2x-8`

let us check using the graphs compared to `y=x`

graph{(y-1/2x-4)(y-2x+8)(y-x)=0[-20,20,-10,10]}

Notice that the line `y=x` acts as the mirror line. Therefore the equations above are inverses of each other.

God bless.... I hope the explanation is useful.