How to find the domain of a rational function - domain and range

👉 Learn how to find the domain of rational functions. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a rational function, the denominator cannot be zero. Thus, to find the domain of a rational function, we first find the values of x, for which the denominator is zero. This is done by setting up the denominator(s) equal to 0 and solve for the variable. The required domain of the function is the set of all real numbers except those values of x for which the denominator is zero.

Organized Videos:
✅ How to find the domain of a function
✅Domain of a function with square root | Medium
✅Domain of a function with square root | Quadratic
✅Domain of a function with square root | Easy
✅Domain of a function with square root | Hard
✅Domain of a function with a fraction | Hard
✅Domain of a function with a fraction | Easy
✅Domain of a function with a fraction | Quadratic
✅Domain of a function with a fraction | Medium
✅Domain of a function with a fraction | Linear
✅Domain of a function with a square root in the denominator
✅Domain of a function with a square root in the numerator
✅Domain of a function with a square root in the numerator and denominator

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[albertodamian]

I learned more in 3 and half minutes of this video, than I did in a whole semester's worth of teaching :/

[janetibbit]

I have so much respect for all of you math brained people. Thank you SO much for getting me through college algebra! Seriously, I could kiss my degree goodbye without you, Mr. McLogan!!

[brianmclogan]

The easiest way is to graph the function. When you do that you will see that the range is from negative infinity up to -7. If you want to show this algebraically you would have to find the domain of the inverse function.

[tsukumoyuuuki]

oh my God you're a lifesaver. My teacher doesn't know how to teach bless your soul for this dhsjajs

[euniceb.fadriquelan]

3:18 why is it positive 5 not negative 5?

[lawenahmed]

Seriously I understand more and learn more stuff from you than my own teacher, mine doesn’t even bother to teach us some of the important stuff.👏

[robindavis]

Me with my teacher :/
Me watching Brian :)

[eaglein]

This is the best explanation I’ve ever seen. THANK YOU!!!

[brianmclogan]

you can determine the range of a rational function by observing the graph or finding the domain of the inverse function

[catsom]

wow so much better than how my math teacher explained it

[AstonMargolis-Dias]

i seriously pop off a lil when i find out that theres a brian mclogan video about what i need

[darkhumor]

this is why I like online classes, i cant stop and rewind the videos whenever i get stuck, thanks for this

[brianmclogan]

yes thank you, I made the correction on an annotation

[theRealStorybookCorner]

This guy explains math better than my math teacher.

[cinticotz]

Thanks for your math lectures and merry Xmas

[brandonporras]

you are helping out so much in math thank you so much. way more better than my teacher

[monicadelagarza]

Thank you for explaining this further I am currently doing schooling online and it helps to have a different point of view. Thanks for that

[theyisgreen.]

0:35 When he said there is no output value my mind just went to the scene where Dante tells Ed that equivalent exchange doesn’t exist in FMA

[brianmclogan]

because the domain is all of the x values that are apart of the equation. So to find the range we can find the values that are not apart of the domain and exclude them from all real numbers. Make sense?

[corlos]

I am in Intermidiate Algebra and we just hit this. I been out of school since 2006. Still lost but will get it I hope.