Question

What is the inverse of the given function? y = 3x 9
a. y=1/3x-3
b. y = 1/3x 3
c. y=3x 3
d. y= 3x-3

Answer 1

y = 3x + 9
3x = y - 9
x = 1/3 y - 3
Inverse is y = 1/3x - 3

Answer 2

Answer:

Step-by-step explanation:

The given equation is y=3x+9.

To find the inverse of the function we switch x and y then solve for y .This will give us the inverse of the function.

Switching x  and y in the given equation we have :

x=3y+9.

Adding 9 both sides :

x-9=3y.

With y term 3 is multiplied .Dividing both sides by 3 we have:

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

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