Question

What is the inverse of the given relation?y = 3x + 9

Answer 1

or in other words, set the equation equal to x(y) instead of y(x)

Answer 2

@sirm3d

Answer 3

the idea of inverse is to solve the independent variable in terms of the dependent variable. as for this problem \[y=3x+9\] transpose 9, then divide by 3 \[\frac{ y-9 }{ 3 }=x\]
as for the final answer, switch variables in the final equation.

Answer 4

y = 3x - 3?

Answer 5

You can switch variables first, then solve. That doesn't matter.

Answer 6

o so y = 3x + 9

Answer 7

x = 3y + 9

Answer 8

if not i confused myself

Answer 9

ooooo x first ok

Answer 10

i dont have x = 3x + 9 as an anwer

Answer 11

@hero now she's confused by you.

Answer 12

That's because I provided the first step. There are more steps of course. By the way, the first step is

x = 3y + 9

Answer 13

yep lol

Answer 14

Maybe I should provide all the steps again.

Answer 15

yes please lol

Answer 16

we're in the final step, and you intruded. that's nice.

Answer 17

wait we were in the final step ugh

Answer 18

Bro, I assure you, she was lost even before I said a word.

Answer 19

honestly yes because i dont understand half of this i dont even know what f(x) is

Answer 20

nice assumption. she hasn't answer my lsat question.

Answer 21

It wasn't an assumption. Some things I just know.

Answer 22

@Hero can you list the steps please

Answer 23

\[
\\ y = 3x + 9
\\ x = 3y + 9
\\ x - 9 = 3y
\\\frac{x - 9}{3} = y
\]

Answer 24

i dont have that as an answer

Answer 25

I suppose you have

\[\frac{x - 9}{3} = f(x)\]

Answer 26

Or maybe even

\[\frac{x - 9}{3} = f^{-1}(x)\]

Answer 27

\[y=3x+9\]
\[y-9=3x\]
\[\frac{ y-9 }{ 3 }=x\]

Answer 28

^incomplete @Babyslapmafro

Answer 29

why is that

Answer 30

Because x still has to be the input of the function.