Question

1 If f(x) = 1/2x + 14, then f ^-1(x)=

Answer 1

`f^(-1)` (x) = 2x - 28

Explanation:

let y = f(x) and rearrange making x the subject

y =
`(1)/(2)` x + 14 ( multiply through by 2 to clear the fraction )

2y = x + 28 ( subtract 28 from both sides )

2y - 28 = x

Change y back into terms of x with x =
`f^(-1)` (x)

`f^(-1)` (x) = 2x - 28

Answer 2

2x-24

I think that you changes the problem...

you went from a derivative to an inverse ???

y = 1/2x + 14

x = 1/2 y + 14

2x = y + 24

y = 2x-24

Explanation: