stupid first world problems you're dealing with

fwp-looking at this thread instead of doing something with my life

I can't figure out this relatively simple math problem.

Given 1/g(t) = t / 1 + t, what is g^-1(t) (the inverse of g(t))...

  On 1/25/2013 at 3:02 PM, StephenG said:

I can't figure out this relatively simple math problem.

 

 

Given 1/g(t) = t / 1 + t, what is g^-1(t) (the inverse of g(t))...

Isn't it t / 1 + t?

  On 1/25/2013 at 3:09 PM, sweepstakes said:

 

  On 1/25/2013 at 3:02 PM, StephenG said:

I can't figure out this relatively simple math problem.

 

 

Given 1/g(t) = t / 1 + t, what is g^-1(t) (the inverse of g(t))...

Isn't it t / 1 + t?

Well.. not quite. 1/g(t) = t / 1+t = g(t) = 1+t / t (put both sides to the power of -1).

Now that we have g(t), set g(t) = y

we have y = (1 + t ) / t

Solve for t (I want to isolate t but cant figure it out, I know I'm just missing something simple).

g^-1(t) = t/(1-t)

it's not too bad -- take your original function, and instead of writing "g(t)", write y. now switch all your x's and y's, so you get "x=y/(1+y)". solve for y. you've got your inverse

i think i see your problem -- inverse function doesn't mean "to the -1 power" ... it's just terrible notation. trig is the same way. the inverse is defined by composite functions (it "undoes" your original function), but the easier graphical way to think about it is that it's the line you get when you reflect your function about the line y=x.

too much stuff

lol

misread your question stephen, didn't see the 1/g(t) was part of the question. ignore my last poast.

g^-1(t) = 1/(t-1)

  On 1/25/2013 at 3:28 PM, luke viia said:

lol

 

misread your question stephen, didn't see the 1/g(t) was part of the question. ignore my last poast.

 

 

g^-1(t) = 1/(t-1)

lol ;)

cheers man!

Really appreciate you taking the time to look at it. Can you take a look at my steps and show me what I'm missing? I know the answer you gave me is right, I just can't figure out the final step.

1 / g(t) = t / (1+t) put both sides to the power of -1

that equals g(t) = 1+t / t

set g(t) = y

now it's y = 1 + t / t

how do you get from there to "t = 1 / y - 1" (the inverse of t=1/y-1 is the answer you gave me, y=1/t-1)

what I did was:

y = (1 + t) / t [switch out y and t, that makes this easier imo]

t= (1 + y) / y

yt = 1 + y [multiplying both sides to clear that variable in the basement]

yt - y = 1 [get all those y's together on one side]

y(t - 1) = 1 [pull the y out of the common terms, so you can have it all alone ]

y = 1 / (t - 1) [divide the terms in parentheses through, and done!]

hope that made sense man, you were so close to the answer. always a headache when an algebra step stands between you and finishing your homework, lol

Yes!

Awesome man thanks very much. Where I screwed up is not factoring out the common term so that I could divide the factored term off both sides.

I knew it was a simple step I was missing!

Cheers

get a room

I ended up meeting my family for dinner last night. My brother arrived half an hour late absolutely shit faced and spent the night shouting out across the restaurant how proud he was seeing my grandparents having sex when he was 8 years old, singing bad renditions of Dean Martin and starting on a bloke just because he was bald and had glasses. That's the first time I've ended up trying to get as drunk as possible just to ease the level of discomfort I've been in, so now I have to finish an essay by tomorrow very hungover

I did roughly 25 hours of math homework this weekend and I want it to stop.

Too many greek letters for one weekend.

i've had this bass guitar for a day and i'm not andy rourke yet

you will be soon not that hard

not sure whether to say shut up i love the smiths or agree

probably both

Spent an hour trying to identify the classical piece that plays at 3:00 on. Still have no clue.

http://www.youtube.com/watch?v=MbidLNe9Mwo

edit: please tell me if you know omg

and my new tattoo itches

oh and i started hanging out with a gorgeous girl from work on the regular, but she doesn't want to get involved with somebody she sees at the office every day. even though she says she gets giddy when my arm is around her and shit. goddammit

I was excited to find a universal power adapter that would work with my Line6 dl4 delay pedal, but the volume drop that occurs when I use the Line6 is fucking ridiculous (like a third the volume of the original signal). Luckily since I'm using it for knob twiddling in this instance, I can just leave it switched on and adjust the mix knob accordingly. But if I were using it as a stomp box with a guitar it would be completely unusable, unless for some reason I wanted my volume to drop substantially every time I used delay. But why would anyone ever want that? Fix ur fucken pedal designs, Line6.

  On 1/28/2013 at 4:05 AM, usagi said:

so get fired, simple

i start vesting my stock in the company in late may, so i should probably stick around til then. i do like her more than the job though.

  On 1/28/2013 at 4:11 AM, Zephyr_Nova said:

I was excited to find a universal power adapter that would work with my Line6 dl4 delay pedal, but the volume drop that occurs when I use the Line6 is fucking ridiculous (like a third the volume of the original signal). Luckily since I'm using it for knob twiddling in this instance, I can just leave it switched on and adjust the mix knob accordingly. But if I were using it as a stomp box with a guitar it would be completely unusable, unless for some reason I wanted my volume to drop substantially every time I used delay. But why would anyone ever want that? Fix ur fucken pedal designs, Line6.

it's designed that way so people will be forced to listen harder to hear the wicked shit you're doing with it.

I poured coffee all over my jumper and need it for tonight as I don't have any other clean decent jumpers, only hoodies for lounging around in. I managed to wash it off in the sink and left it in front (not on) the heater before I left for lectures, but it's still wet and the tumble dryer at the laundrette downstairs is broken, so now I have to attempt to dry it by hand before a couple of hours.

  On 1/28/2013 at 2:51 AM, KY said:

Spent an hour trying to identify the classical piece that plays at 3:00 on. Still have no clue.

 

http://www.youtube.com/watch?v=MbidLNe9Mwo

 

edit: please tell me if you know omg

 

and my new tattoo itches

your part starts at around 11:00

it's really stunning

you owe me a pic of your new tattoo

builders are in the kitchen all this week, at 8 this morning about six lads burst into the house and started what sounded like smacking a metal pipe against the wall and filling the whole house with smoke. i would normally be out the house 9-6 but i have a really bad fever, so tomorrow i can either go into work and try not to snot and diarrhea over everyone, or stay in and be trapped with radio 1 and amber leaf smoke.