Question

What is the inverse of H(x)=1/2x+3

Answer 1

x=-6

Explanation:

Answer 2

`h^(-1)` (x) = 2x - 6

Explanation:

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

y =
`(1)/(2)` x + 3 ( multiply through by 2 to clear the fraction )

2y = x + 6 ( subtract 6 from both sides )

2y - 6 = x

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

`h^(-1)` (x) = 2x - 6