Question

What is the inverse function of d(x) = 2x - 4?

Answer 1

The inverse function of d(x) = 2x - 4 is y = (x + 4)/2.

Step-by-step explanation:

The inverse function of d(x) = 2x - 4 can be found by following a step-by-step process. Let y = 2x - 4 be the original function. To find the inverse function, swap x and y in the equation and solve for y. This will give us the inverse function as y = (x + 4)/2.

Answer 2

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

Step-by-step explanation:

let d(x) = y and rearrange making x the subject, that is

2x - 4 = y ( add 4 to both sides )

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

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

Change y back into terms of x, so

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