Question

Find the inverse function of y=(4x-1)/(2x+3)

Answer 1

do you know the steps to find inverse function ?
have you tried this one ?

Answer 2

I know the steps, but i'm confused as to whether to simply multiply 2x+3 across or not

Answer 3

yes, you should do that .....and tell me what u get ?

Answer 4

[(2x+4)*(Y)]/4=x

Answer 5

how did 2x+3 became 2x+4 ?

Answer 6

I brought the 1 over from the 4x-1 equation

Answer 7

added 1 to both sides.

Answer 8

the 1st step is to multiply 2x+3
(2x+3) y = 4x-1
got this ?

Answer 9

Yes.

Answer 10

good, now distribute the y
(2x+3) y= ... ?

Answer 11

2xy+3y

Answer 12

then I move the 1 over, and divide by 4?

Answer 13

2xy+3y = 4x-1
the goal is to isolate 'x' , so bring all 'x' terms together
for that you'll either need to bring 2xy on right or 4x on left
do whatever you are comfortable with...

Answer 14

remember first bring all 'x' terms together

Answer 15

4x-2xy-1=3y

Answer 16

then, (4x-2xy-1)/3=y?

Answer 17

correct, also get rid of the 1 from left first
so, after
4x-2xy-1 = 3y
you would add 1 to both sides

Answer 18

What does that serve to accomplish? I thought the inverse function was to be expressed in terms of y?

Answer 19

in terms of 'y' , after you interchange 'x' and 'y'

Answer 20

ah, I had overlooked that. Thank you very much

Answer 21

the main point is to isolate other variable

Answer 22

lets continue ?
4x-2xy-1 = 3y
then ?

Answer 23

4x-2xy=3y+1

Answer 24

Can we simplify left to be 2x(2-y)=3y+1?

Answer 25

correct!

Answer 26

now you can just divide both sides by 2 (2-y)
and you would have isolated x :)

Answer 27

Then divide right side by 2(2-y), to isolate x variable?

Answer 28

Awesome, thank you very much for the professional walkthrough!

Answer 29

you got it :)

Answer 30

welcome ^_^