5

Point) Find a formula for the inverse of f(x) = Zx_ ! Tx +2 f-'(x) =...

Question

Point) Find a formula for the inverse of f(x) = Zx_ ! Tx +2 f-'(x) =

point) Find a formula for the inverse of f(x) = Zx_ ! Tx +2 f-'(x) =



Answers

Find a formula for the inverse of the function. $$y=x^{2}-x$$

Me. Alva is their function. Works people to four ex miners. One works was three. So, uh, I want to find, uh What is it? Members? So you're firm enough for what is being very skilled dysfunction so that we will do that. He said he said why? It calls too. That equation that you have there, that function we try to simplify from that equation. What is 26? So here, simplify bye for X. So the way to do that again? Well, the play my dad won so wanted by and by to express three on both sides, he's gonna bring it to the side of the question. So you got why them's two eggs. Plus really, Is he going to for X might as one? Um, so, uh, a za general. Strange. You do? Well, we can and distribute that. But how? The general is for religious, all these equations, we should, uh, with everything that is in terms of X on one side of the equation, you were trying to solve works and everything that is not in terms of X outside. So, uh, all these one has some terms of X. Some movie there. This dam has not. Some will be to settle a question on A This one is not in terms of our excoriated stays there, on your knees in terms of exile. Let's keep it there. So during those two things will move. He's won. There is we get out. I was the one. And then when that there is gonna turn negative. So you have another things to move from the left inside, undoing on the right hand side for X that's there. And then this guy over there, but minus So why does two Why x so from here, you see that become factor The X It's, uh don't talk to it, huh? So this expression is equal to x times will there really? For when this is minus two. Why? So you see that? And then with this, we can You can multiply. Well, we can divide like that. More need to that side of the equation. So were modified. They left inside. There are right outside by four minus to Why that he said four there. So I've decided castles. I'm gonna decide. Well release issue. So from the get no one plus you. Why over But were for blindness. Two. What? No. So there before under X. So before wise getting by these this relation, then find the X In terms of that hope, this is the ex being a the right in terms of our Well, this is Ah, so what I'm but these insane is that this is Daddy's. If ingrates. But it hasn't. Well, he's a function on white. So these fingers off Why already goes from these equations health you have there. If that takes the sequel to work so you have your plate. If you burst, you're playing beavers, too. Sorry. And if you interested that side, we get this equation besides eggs, people toe humors of why, But you want to write it in terms of expo is just the matter over replacing, they're why buy eggs on this expression? So if you miss effects is gonna be one plus. So that was a big part of why everyone affects one plus the eggs over for my nose. Through what? So that would be being loose

Okay, so we're giving her function f of X and were asked to find our inverse. So let's start by setting FX to be why So we get wise. You put too, what we have on our right hand side. And now let's into change our y interacts. So we have X is equal to four. Why on this 1/2? Why plus three. And now we want to solve for why So let's start by multiplying both sides by two y plus three so we can get rid of that fraction. So if you want to buy out, we get to why acts 1st 3 X is equal to four y minus one. Okay, so I will just offer why. So I moved all of our whitens to one side. Let's move it to our left hand side and in all of our other terms to the right hand side that is will subtract three X to move it to our right hand side and subtract Flora. Why? To move it to our tough times. Okay, so we had to Why? X minus four Wine is equal to, uh, negative one minus three. We're now fucked out away And now we can divide both sides by two X minus four to solve for why? So we got y is equal to the fallen. And now let's be right. Why, as f in bursts of X. Okay, so this is our inverse function.

This question asked us to find a formula for the inverse of the function. The first step is we need to solve the equation for acts. So given why is one plus square root of two plus three acts, we can get the one over to the left hand side and then we take out the square root. And so we have Y minus one squared is three acts. Therefore, why minus one squared minus two is equivalent to our function, which means that we have axe is 1/3 times y minus one squared minus two, which, substituting for inverse function of acts. We have 1/3 X minus one squared minus two and then we know that acts has to be greater than or equal to one for this to be.

Okay, So I asked to find in the various function of the fallen function, So I first that that's to change your affects toe. Why? So we have wise equal to fallen Just one plus this goal, Rudo two plus three. And now we went to and to change our x and y So I worry now becomes X on our x becomes what? Okay, I know we want to solve for why So we'll start by subtracting wonderful sights. And now will, um let's multiply both sides by the power of to so we can get rid of that square root. Okay, now let's a truck to and then divide by three. If you felt for what, okay, and then we'll be right. F Bernard. Why? Adds inverse of X. So yet, if inverse of X, that's equal to X minus one squared minus 2/3. This is our interest assumption


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