Question

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

Answer 1

Answer:

$-\frac{x}{2} - 3$

Explanation:

d(x) = -2x - 6

to find the inverse of a function, you need to follow these steps:

1. set d(x) = y

2. interchange the variables, so y becomes x and x becomes y

3. solve the equation for y

step 1: set d(x) = y

y = -2x -6

step 2: interchanging the variables

y = -2x - 6 turns into x = -2y - 6

step 3: solving for y

x = -2y - 6 < add 6 to both sides to get rid of it on the right

x + 6 = -2y < divide both sides by -2 to get y alone

x + 6 / -2 = $-\frac{x}{2} - 3$

-2y / -2 = y

$-\frac{x}{2} - 3$ = y

so the inverse of the function is $-\frac{x}{2} - 3$