Question

Inverse for f(x)=1/2x+3

Answer 1

Answer:
`f^(-1)(x)=2x-6`

Explanation:

To find the inverse, we want to switch the y with x and x with y. Once we do that, we solve for y.

`y=(1)/(2)x+3` [switch x and y]

`x=(1)/(2)y+3` [subtract both sides by 3]

`x-3=(1)/(2) y` [multiply both sides by 2]

`y=2x-6`

Now, we know that
`f^(-1)(x)=2x-6`.