Question

What is the inverse function of d(x)=-2x-6?

Answer 1

d(x) = 2x -6

`d(d^(-1)(x)) =  x = 2d^(-1)(x) - 6 => d^(-1)(x) = (1)/(2)x + 3`

Answer 2

Answer:
`d(x)^(-1)=-(x)/(2)-3`

Explanation:

Rewrite the function with
`d(x)=y`

`y=-2x-6`

Solve for the variable "x":

`y=-2x-6\\\\y+2x=-6\\\\2x=-6-y\\\\x=(-6-y)/(2)`

Now exchange the variables:

`y=(-6-x)/(2)`

Simplify. Then, the inverse function of
`d(x)=-2x-6` is:

`d(x)^(-1)=-(x)/(2)-3`