Question

Find the inverse of the function.

y = -3x - 9
Write your answer in the form ax + b. Simplify any fractions.
y =

Answer 1

Answer:
`y=-(1)/(3) x-3`

Explanation:

To find the inverse of a function you must first swap the places of x and y

`x=-3y-9`

Now solve for y

Step 1: Flip the equation.

`-3y-9=x`

Step 2: Add 9 to both sides.

`-3y-9+9=x+9\\-3y=x+9`

Step 3: Divide both sides by -3.

`(-3y)/(-3) =(x)/(-3) +(9)/(-3) \\y=-(1)/(3) x-3`