Function inverse example 1 | Functions and their graphs | Algebra II | Khan Academy

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Function Inverse Example 1
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tyvm khanacademy

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Can you be my calculator for my test tomorrow?

[@user-bj5oo4ci6z]

Wow ur comment is from 7 years and i have math exam tomorrow to 😂

[@kellyyates4498]

let say you were asked this;
find the inverse of f(x)=(x+3)^2-9
would you have to foil first or do the inverse part first ?

[@91jgphonecall]

i like how your videos are kinda philosophical, which gives me a better understanding. i owe you some money.

[@DOGGEATDOGG03]

@khanacademy will this apply to calculus too?

[@jaybandl3184]

You can't just "rename it as a function of x".
The original function sets the relationship, and changes cannot be arbitrary.
Swapping the variables is correct, but this is actually the "inversion part",
and the '-1' notation should not appear until the variables are swapped.
This swapping of the variables flips the plot across the diagonal x=y,
the intention of an inverted (inverse) function, since it can combine
with the original function to cancel back to the line x=y .
MIT is not right.

[@ritasaka565]

Thank you!

[@hollowfocus001]

thanks a lot for posting this helpful video:)

[@perna123123]

damn.. his voice is calming

[@sadat417]

realy helpful

[@devinnair9818]

How do you know where the graph cuts the x axis?

[@devinnair9818]

Well, there isn't an exact place it's just estimated. Hope this helps

[@devinnair9818]

yep it did thanks

[@sangeetsingh316]

When you put the value of y = 0, value of x become 4 that's why.

[@imeicshuro6470]

please use a brighter colour so that we see the notes better☺

[@HaiderRehman7]

Please anyone explain that how slopes are drawn on the coordinate axis?

[@Daski69]

one perhaps dumb question but I'd like to ask if the inverse of a function really is changing the dependent variable to the independent
I mean if you have say
y = 2x + 1
x = 1/2y - 1/2
if you graph the f(x) you get the same as if you graph the f(y), it is only when you change the y to x and x to y in the second function (the inverse) that you get the correct graph.
Does it only become the inverse function when the switching of the y and x is done? I mean if you solve for x with respect to y you will still obviously get the same graph.
Thanks!

[@thygovanengeland8758]

Yes, if you do not swap the y with x you basically have the same line as before, swapping the y with x inverses the function

[@paulceltics]

there are some voice issues of these videos

[@werewolfpudding]

I was following until the end when Y magically turned into X for the inverse function written out. Can you please explain how thats possible? thanks for making your videos.

[@TerraCottaCake]

You shouldn’t care about the why… just do the process dont even question it

[@neumans7]

Great video! Which program did you use to make this video?

[@wannasomemilk6109]

Khan academy

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Damn i wish i had the power to spawn you whenever!

[@chewbaccawillrule]

pardon

[@Kcvee777]

@MrDevin666 LOL, id spawn him at my exam

[@gutenberg8060]

Kcvee777 where r u from

[@EldyMoon]

1/(x-2)

[@EldyMoon]

how does it equal (1/X)+2

[@falchion3568]

it doesnt xD

[@CeeSo_]

didnt help ;/

[@kenanwhyle7039]

same

[@acchen7458]

same

[@SamirSamir-oq1km]

I don't understand this teacher

[@Sparkles1919]

A-yo fuck math am i right???

[@vashdrinks2291]

lolol

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but im cheap.

[@FuZZyJOhn81]

who dislikes this videos?

[@FuZZyJOhn81]

dislikes these videos...

[@williamstone96]

This didn't make aaany sense.