Question

Find the inverse of the function d(x) = 2x - 4

Answer 1

see explanation

Explanation:

let y = 2x - 4

Rearrange making x the subject, add 4 to both sides

2x = y + 4 ( divide both sides by 2 )

x =
`(y+4)/(2)`

Change y back into terms of x, hence

`f^(-1)`(x) =
`(x+4)/(2)`

Answer 2

d(x) = 1/2x + 2

Explanation:

Swap x and y:

x = 2y - 4

Add 4 to the other side:

x + 4 = 2y

Divide by 2:

y = 1/2x +2