Answer:
\(d(x)^{-1}= \frac{x+6}{-2}\).
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.
\(\frac{x+ 6}{-2}\) = y .
\(y = d(x)^{-1}\) is inverse of d(x).
Therefore, \(d(x)^{-1}= \frac{x+6}{-2}\).
