Pedro has created the function f(x) = 4x - 3 ------- 2 to represent the number of assignments he has completed, where x represents the number of weeks in the corse. Pedro discovers that, using the inverse function to solve for x = 30, he can predict when he will have 30 assignments completed. Explain to Pedro how to accomplish this, using complete sentences.

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Pedro has created the function f(x) = 4x - 3 ------- 2 to represent the number of assignments he has completed, where x represents the number of weeks in the corse. Pedro discovers that, using the inverse function to solve for x = 30, he can predict when he will have 30 assignments completed. Explain to Pedro how to accomplish this, using complete sentences.

Mathematics
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@PeterPan Here it is genius :P
Essays? But that's so boring -_-
Tell me about it -_- Thankfully there were only 3, this is my last one.

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Okay, I'm not a good speaker, so I'll give you the gist of it and leave it to you to turn a few sentences into a bloody novel so are you ready? :D
Sounds good
To get the inverse of a function Like f(x) = 4x - 16 for instance
If it wasn't an inverse problem I could do it but I don't understand how to solve inverse problems.
haha You'll never be able to explain it to Pedro (that's Spanish for Peter, right? :| ) if you don't know it yourself :P So let me show you an example:
I have no idea, probably though. Good point, okay.
Sorry about that, internet in the second star could be a bit iffy at times haha Getting the inverse of a function is easy enough in theory, even though it's not always so in practice. Thankfully, linear equations are always easy. So... \[\large f(x) = 4x - 16\] First step and this is optional, but I always do it (in my head at least) to make things look nicer, and that's to replace f(x) with y \[\large \color{red}{y} = 4x-16\]
Got it?
Yes. And then you do it again but with x so it's x = 4y - 16, right?
That's right :D But you're going to have to say that properly, though, and clearly (unlike that idiot who wrote that video game problem from last time ugh) So say that you will switch x and y. \[\large \color{blue}x = 4\color{blue}y - 16 \]
lol Then you add 16 to both sides?
So it should look like... |dw:1441987136393:dw|
@texaschic101 Can you help me please? The person who was helping me is having internet problems ._.
I have a name, you know :P
Well I don't know it :P
It's Kurt haha Anyway, you did it correctly, just one more final touch ^^
You replaced f(x) with y. Now we replace y. With... \[\Large f^{-1}(x) = \frac{x+16}{4}\]
Hey... Are you still there?
Yeah sorry. I accidentally closed the tab. Okay, that makes sense... Now how do I put it into the problem that they gave me?
Just do the same, and use Pedro's bloody function :D
Okay so... f(x) =4x - 3/2 y = 4x - 3 / 2 x = 4y - 3 / 2 then add 3 to each side?
Nope, not quite. \[\Large x = \frac{4y-3}2\] You kind of have to get rid of that 2 in the bottom, first. Try multiplying both sides by 2.
So we would cancel out the 2 all together?
Yup, while multiplying the left x with a 2. HAHA account back to normal... I feel more formal already (even though I'm not LOL)
\[\Large \color{red}2\cdot x = \frac{4y-3}2\cdot \color{blue}2\]
I'm lost .-. It's harder when it's already in a fraction.
You're lost? I thought your name was Hayley :D HAHA Don't be afraid of fractions, they're just numbers trying to look tough ^^ In fact, multiplying the 2 get rid of the fraction bar: \[\Large 2x = \frac{4y-3}{\cancel{2}}\cdot \cancel{2}\]\[\Large 2x = 4y - 3\]
Yeah yeah, whatever :P lol Okay... how do you ride of the 4 in the y? Don't we need a variable all by itself?
Sshh... One at a time, Miss lost. First, your original idea. We add three to both sides to remove that 3. We couldn't do it earlier because, well, there was a denominator. But now there isn't. So... add the 3 and you get...?
OH OH, I got it now!! So... |dw:1441989280403:dw|
And the final touch \[\Large f^{-1}(x) = \frac{2x + 3}4\] and Pedro can stick that up his... well, wherever he does his maths HAHA Well done! Amazing Grace!! HAHA You once... were lost... but now... you're... well, something Good job ^^
Yay! Thank you so much. You are a life saver... well grade saver I guess ^.^
No problem. ^_^ I am like super smart, after all... AHAHAHAHA or maybe just a little :)
Or a lot :P

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