Graphing Inverse Functions

This precalculus video tutorial explains how to graph inverse functions by reflecting the function across the line y = x and by switching the x and y coordinates and plotting the points using a data table. This video contains plenty of examples and practice problems on graphing inverse functions.
Introduction to Functions:
• Functions - Vertical L...
Evaluating Functions:
• Evaluating Functions -...
Function Operations:
• Function Operations
Increasing and Decreasing Functions:
• Increasing and Decreas...
Relative Maximum & Minimum Values:
• Identifying The Relati...
_____________________________________
Relations and Functions:
• Relations and Function...
Domain and Range From a Graph:
• Domain and Range of a ...
How To Find The Domain of a Function:
• How To Find The Domain...
Average Rate of Change of a Function:
• Average Rate of Change...
The Difference Quotient of a Function:
• Difference Quotient
_____________________________________
Evaluating Piecewise Functions:
• Evaluating Piecewise F...
Graphing Piecewise Functions:
• Graphing Piecewise Fun...
Composite Functions:
• Composite Functions
How To Evaluate Composite Functions:
• How To Evaluate Compos...
Composite Functions - Data Table:
• How To Evaluate Compos...
Comp. of 3 Functions - Data Table:
• Composition of Three F...
Decomposing Functions:
• Decomposing Functions ...
_________________________________
Introduction to Inverse Functions:
• Introduction to Invers...
How To Find The Inverse of a Function:
• How To Find The Invers...
Verifying Inverse Functions:
• Verifying Inverse Func...
Horizontal Line Test - 1 to 1 Functions:
• Horizontal Line Test a...
Vertical Line Test:
• Vertical Line Test
Graphing Inverse Functions:
• Graphing Inverse Funct...
Composite and Inverse Functions:
• Composite Functions an...
__________________________________
Even and Odd Functions:
• Even, Odd, or Neither ...
Transformations of Functions:
• Transformations of Fun...
Linear Functions:
• Linear Functions
Functions and Graphs - Problems:
• Functions and Graphs |...
Functions - Test Review:
• Functions
______________________________________
Final Exams and Video Playlists:
www.video-tutor.net/
Full-Length Videos and Worksheets:
/ collections

[@TheOrganicChemistryTutor]

Next Video: czcams.com/video/Tmdrjs9xufc/video.html
Final Exams and Video Playlists: www.video-tutor.net/
Functions and Graphs: czcams.com/video/ZTEv8OnGaxo/video.html
Transformations of Functions: czcams.com/video/tyQLp6x-GoU/video.html
Graphing Polynomial Functions: czcams.com/video/rOOefdqMvtA/video.html

[@nystagmus]

My math teachers taught me how to get the answers technically, but never explained to us WHAT, for example, an inverse function actually IS

[@bluehmtk9105]

Fax then she goes to the next question as if we already know also ik this 2 yrs ago but I gotta say it

[@ericalol3600]

@@bluehmtk9105 how did ur math class go 2 yrs later 😳

[@MoonsSoul]

@@bluehmtk9105this is two years later to your comment and I relate. Acting like we’re familiar with this, I have never seen this in my life bro wth do you mean by restrictions 😭😭🙏

[@Iamaslian]

Yes same with me

[@georgesadler7830]

MR. Organic Chemistry Tutor thank you for Graphing Inverse Functions and explaining the process step by step.

[@Anthony-si7sm]

Literally just saved my math grade thank you

[@mohammadbolalwafa2541]

Great video I wish I watched this before my exam last week.

[@xxal2998]

Mohammad Bolal Wafa 😂😂😂 i think you got fucked

[@nattlesnake.]

Thank you so much for explaining all of these things! You are very appreciated

[@citlalyflores8743]

this video helped so much! thank you :)

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Man, u are the best. When ever I'm stuck with any problem, wether I'm math or chemistry, u know, ur videos just kinda, nah! Not kinda, really solve all my problems

[@mk-daysai4330]

this seems quite easy and straight forward, thanks very much good sir!

[@ghito78]

a little confused
in last example about graphing inverse function the original function does not pass horizontal test as 2 x values has specific one y value
as i understand ed before there is no way to be an inverse function

[@liquidc0oled]

Took me an hour to try this with ai help as well, but you taught me it 2 mins. Thank You!

[@ofelia1774]

I will pray for you! You are just saving my academic carreer...

[@TheBoBuilder]

Thank you. Great explanation

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Very helpful !

[@nikolajokic987]

very helpful thank you

[@lujainsamman8469]

Thank you so much it really helped me
I understand much better 😊

[@stephanienwonwu9701]

True

[@choaib11]

Between the 4th minute and the 5th minutes in the video where tables were used, the inverse g is only a relation and not an inverse function !

[@P1wer]

Bruv I understand everything in class then forgot it after imao and now I’m here

[@samahere8505]

4:58 best upside down two ever

[@Alkaide]

lmao just the comment I was finding for - I thought I was the only one who noticed it lmao

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[@2ggarza]

im so confused on what y’all looking at

[@hayatburak9252]

destroyer drago why can’t I see it tho

[@yoooilive2588]

@@hayatburak9252 the two in the second table last line

[@tiktokersaregay9587]

where did you get the points from?

[@mijupark1426]

thank you very much you are so amazing!!!!

[@ezrashems6208]

wtf is wrong with my teacher or its also the same in with you guys why ??? can't they teach us like this. Am feeling clever now 🤔

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Thank you so much

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Thank u

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thank you!

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Wow this helped me like fr

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Has anyone purchased your merch? Just curious

[@linkfromzelda1002]

No.

[@omarzeinab478]

Thanks too

[@ten3920]

4:39 the 2 on the inverse column is how I feel rn

[@nunesabrina1728]

Sir, do you conduct any online classes for maths....

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bro his voice is soo nice

[@cokser]

I fucking love you man you've helped me for years, all my fucking teachers cant teach and I take all my math glasses at a early age, I'm currently in a glass with ppl 1 to 2 years older than me and the math teachers are always shit explainers

[@diegomandragora4327]

5:04 How can g(x) be a function when it gives back multiple possible values when we input X=1?? It does fail the vertical line test so I'm assume it's a mistake?! 🤔

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[@sarap800]

THANK UU

[@nunesabrina1728]

Sir, can we say g(x) and f inverse of x are same..!

[@ariah9082]

I love you

[@johne2815]

Is is graphed as (input, output) or as (x,y)?

[@yash2614]

Both mean the same, x is the input and y is the output

[@SurinderSingh-xh1wn]

how do u know which way the inverse is going?

[@kleeeee]

the line of symmetry is going to be the guide in order to graph its corresponding inverse function/relation

[@bastyaskri3177]

Sana ol May Lugaw

[@fetiyadelil6299]

Please make video by this function (x)square + (y)square =25 i don't understand how i prove it

[@ninanina4231]

In another words... the inverse is like a mirror that is invisible

[@munisailkhomova9266]

😭i have my math exam next week.

[@bigstuff52]

doesn't your addendum go for the previous problem also?

[@EmpyreanLightASMR]

2 years late but you are correct. At 4:35, the red f(x) line does not pass the horizontal line test.

[@munisailkhomova9266]

I have one week to learn entire capculus .😵

[@piyushpathak5012]

Calculus*

[@coolkidllama1483]

do a parabola

[@pugsy425]

Hi sir mhatty

[@lynne5114]

Is the mirror line always y=x🤔
Please do answer me, people 😂

[@Picklejarbaby]

Bedazzled Turtle I was wondering the same thing, idk

[@lumpyspace3045]

Yes

[@DrSooze-iw5em]

The first graph of f(x) is not 1-1, and so f-inverse does not exist.

[@kentv2.037]

It exists because the domain has a restriction. It is not one to one if all values of the domain of the function is graphed.

[@DrSooze-iw5em]

@@kentv2.037 I didn't mean the first graph. I meant the graph at time stamp 4:00. It doesn't pass the horizontal line test and so doesn't have an inverse.

[@aaliyahhlove]

Ummm where are u getting the points from? Did u just make up random points and plot them?

[@kristine564]

aaliyah S you switch the x and the y values if you’re using numbers

[@totallynotnorman4393]

@@kristine564 doesn't make sense

[@aunmaqsood3129]

@@totallynotnorman4393 makes complete sense

[@abbydelapena2360]

@@aunmaqsood3129 what they mean is where did they get the values for the actual function, not the inverse one.

[@paulhetherington3854]

Inverse = inner VARs - grids welds. Vs outer. He never, studied calculus.

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Stfu religion doesnt have to be involved in every things!!!

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Praying to god won't help me get this math homework done 💀

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You speak too close to the microphone

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mean

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I fell asleep

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I cant really understand you because of your voice.

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rude