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Find a formula for the inverse of the function.

$f(x)=\frac{4 x-1}{2 x+3}$

$f^{-1}(x)=\frac{1+3 x}{4-2 x}$

Calculus 1 / AB

Chapter 1

Functions and Sequences

Section 5

Logarithms; Semilog and Log-Log Plots

Functions

Oregon State University

University of Michigan - Ann Arbor

Boston College

Lectures

03:09

In mathematics, precalculu…

31:55

In mathematics, a function…

01:25

Finding Inverse Functions …

01:18

01:16

Find the inverse function …

02:01

Find a formula for the inv…

01:00

01:30

00:53

Find the inverse of the fu…

02:30

01:33

00:59

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

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