Question

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

Answer 1

d(x) = 2x -6

$d(d^{-1}(x)) =  x = 2d^{-1}(x) - 6 => d^{-1}(x) = \frac{1}{2}x + 3$

Answer 2

Answer: $d(x)^{-1}=-\frac{x}{2}-3$

Step-by-step explanation:

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

$y=-2x-6$

Solve for the variable "x":

$y=-2x-6\\\\y+2x=-6\\\\2x=-6-y\\\\x=\frac{-6-y}{2}$

Now exchange the variables:

$y=\frac{-6-x}{2}$

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

$d(x)^{-1}=-\frac{x}{2}-3$