Question

Verify that this is an Inverse.
I know this will come out to be x but am a bit unsure where to go from here

Answer 1

ok, it won't let me type an equation, so one minute

Answer 2

http://gyazo.com/9781886559bfca347c8b4dc5f756b5b4

Answer 3

prove it's the inverse of what ?

Answer 4

my bad, I had already put the equations into each other. The two equations are both the same
(2x+1)/(3x-2)

Answer 5

if you have f(x)
and the inverse g(x)
then g(f(x)) = x
and
f(g(x)) = x
so if you plugged f(x) into g(x) and got x, you showed that g(x) is the inverse function

Answer 6

yah. I know. But i plugged it in, and got this
http://gyazo.com/40d985609f5ddf098f636f6cebb026b5

Answer 7

so i distributed the 2 (numerator) and the 3(denomonator), but I don't know where to to get from here

Answer 8

Are you sure about your equations?
if you start with
f(x) = (x+1)/(3x-2)

and g(x) =(2x+1)/(3x-2) *slight different from f(x)*

and plug f(x) into g(x) , I think it will work out to x

Answer 9

oh, ok, that makes sense, thanks

Answer 10

nope, that is not correct...but I think there is a typo in the question somewheres...

Answer 11

OK, so for the sake of it assume the equation that i posted originally was correct, does that simplify down to x? Because i feel like it should only i am not sure how to simplify it

Answer 12

how about f(x)= (x+1)/(3x-2)
then the inverse will be g(x) = (2x+1)/(3x-1)

Answer 13

Yes, your very first post simplifies to x

first step: multiply top and bottom by (3x-2)

Answer 14

Ok, there we go. I couldn't figure out how to get rid of the fractions within the fraction, it all worked out now. Thank you