Question

inverse of 9x+3 over x+3?

Answer 1

swap x and y and solve for y

Answer 2

9x+3
y = ------
x+3

inverse is:

9y+3
x = ------
y+3

solve for "y" to get it looking "proper"

Answer 3

you know how to solve for \(y\)?

Answer 4

multiply both side by y+3?

Answer 5

that is a good first step, yes
\[x(y+3)=9y+3\]
next step is to multiply out on the left of the equal sign

Answer 6

but then you are going to have xy?

Answer 7

xy is fine, its only a step in the process

Answer 8

xy + 3x = 9y + 3

get all the y parts to one side and everything else to the other so that we can factor out a common y

Answer 9

x(y+3)=3(y+1)

Answer 10

i mean 3(3y+1)

Answer 11

xy + 3x = 9y + 3

xy - 9y = 3 - 3x

y(x - 9) = 3 - 3x

and divide off the x-9