Answer:
[tex]d(x)^{-1}= \frac{x+6}{-2}[/tex].
Step-by-step explanation:
Given : d(x ) = -2x - 6.
To find : What is the inverse function .
Solution : We have given that d(x ) = -2x - 6.
Step 1 : d(x) = y
Step 2) : Inter change y and x .
x = -2y -6.
Step 3) solve for y.
On adding both side by 6.
x + 6 = -2y.
On dividing by -2 both side.
[tex]\frac{x+ 6}{-2}[/tex] = y .
[tex]y = d(x)^{-1}[/tex] is inverse of d(x).
Therefore, [tex]d(x)^{-1}= \frac{x+6}{-2}[/tex].
