Question

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.

Answer 1

@PeterPan Here it is genius :P

Answer 2

Essays? But that's so boring -_-

Answer 3

Tell me about it -_- Thankfully there were only 3, this is my last one.

Answer 4

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

Answer 5

Sounds good

Answer 6

To get the inverse of a function
Like
f(x) = 4x - 16
for instance

Answer 7

If it wasn't an inverse problem I could do it but I don't understand how to solve inverse problems.

Answer 8

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:

Answer 9

I have no idea, probably though. Good point, okay.

Answer 10

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
\[\large \color{red}{y} = 4x-16\]

Answer 11

Got it?

Answer 12

Yes. And then you do it again but with x so it's x = 4y - 16, right?

Answer 13

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.
\[\large \color{blue}x = 4\color{blue}y - 16 \]

Answer 14

lol
Then you add 16 to both sides?

Answer 15

So it should look like...