Question

which function is the inverse of y=2/3x-6

Answer 1

What does x=, according to this function?

Answer 2

Do you need help finding x as well?

Answer 3

yes

Answer 4

y - 6 = (2/3)x + 6 - 6

y - 6 = (2/3)x

Answer 5

(3/2)(y - 6) = (3/2)(2/3)x

(3/2)y - 18/2 = x

Answer 6

x = (3/2)y - 9

Answer 7

y = (3/2)x - 9 - - > This is the inverse of y = (2/3)x + 6

Answer 8

-_-

Answer 9

Okay let's go through this step by step so you understand it better.

Answer 10

ok

Answer 11

Move the y to the end \[\frac{ 2x }{ 3}-6=y\]

Answer 12

That isolated x to the lefthand side, which is where we want it in the end. Now isolate the terms with x to the lefthand side as well/
\[\frac{ 2x }{ 3 }-6=y\] You do this by adding six to both sides, so... \[\frac{ 2x }{3}-6+6=y+6\]\[-6+6=0\] \[\frac{ 2x }{ 3 }=y+6\] Multiply both sides by 3/2
\[x=\frac{ 3y }{ 2 }+9\]

Answer 13

y=3x/2+9

Answer 14

Oops I meant 6, not 9

Answer 15

That would wind up being \[\frac{ 3(y+6) }{ 2 }\]

Answer 16

I accidentally left the 6 off of the fraction, sorry.

Answer 17

Its okay, thanks a lot!!