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: $y=-\frac{1}{3} x-3$

Step-by-step 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.

$\frac{-3y}{-3} =\frac{x}{-3} +\frac{9}{-3} \\y=-\frac{1}{3} x-3$