Symolab

i mean thats what our teacher told us but it doesnt make sense in this question
I have a function f(x)=√1-log(x+2/4) we need to find its inverse and range.
the whole function is underoot 1-log((x+2)/4) just to be clear
i found the domain of this function basically √ should not be negative and log(x) x should not be zero
(-2,38] (check on symolab)[https://www.symbolab.com/solvefunction-domain-calculatodomain%20f%5Cleft(x%5Cright)%3D%5Csqrt%7B1-%5Clog_%7B10%7D%5Cleft(%5Cfrac%7Bx%2B2%7D%7B4%7D%5Cright)%7D?or=input%3D%5Csqrt%7B1-%5Clog_%7B10%7D%5Cleft(%5Cfrac%7Bx%2B2%7D%7B4%7D%5Cright)%7D?or=input)]
okay so finding range i just solve for x and find its domain
x= (4)10^(1-y^2) - 2
so its 4*10 raised to (1-y^2) minus 2
so the domain of this function is all real numbers so its the range of the orignal function. But when you graph it on a online calculator https://www.desmos.com/calculator the values of y is between 0 to around 4.2ish
I have a work sheet of functions where I have to find Thier ranges. Is there a method where I could find ranges of functions.

i mean thats what our teacher told us but it doesnt make sense in this question
I have a function f(x)=√1-log(x+2/4) we need to find its inverse and range.
the whole function is underoot 1-log((x+2)/4) just to be clear
i found the domain of this function basically √ should not be negative and log(x) x should not be zero
(-2,38] (check on symolab)[https://www.symbolab.com/solvefunction-domain-calculatodomain%20f%5Cleft(x%5Cright)%3D%5Csqrt%7B1-%5Clog_%7B10%7D%5Cleft(%5Cfrac%7Bx%2B2%7D%7B4%7D%5Cright)%7D?or=input%3D%5Csqrt%7B1-%5Clog_%7B10%7D%5Cleft(%5Cfrac%7Bx%2B2%7D%7B4%7D%5Cright)%7D?or=input)]
okay so finding range i just solve for x and find its domain
x= (4)10^(1-y^2) - 2
so its 4*10 raised to (1-y^2) minus 2
so the domain of this function is all real numbers so its the range of the orignal function. But when you graph it on a online calculator https://www.desmos.com/calculator the values of y is between 0 to around 4.2ish
im probably missing something or calculated wrong so if anyone could help it would be great.

Hi everyone! Working through an integral, and a little confused why my calculator Ti-nspire CXII CAS is giving a different result from an online integral calculator.
I'm taking an integral from 0 to a, integrand is: 9x² * √(a² -x² ) dx
My Ti is giving me: (9a * absval(a³⁾ * pi)/16, but this appears to be incorrect to the program I'm entering it in.
Symolab gives me: (9pi /16)*a^4, which the program accepts as the correct answer.
What am I doing wrong with my Ti?

Hello. I know wheher you are electrical engineer(electronics, rf, control systems. power electronic) mechanical, aerospace, nuclear you need a lot of math. But do engineers use mathway and symbolab which can solve differential equations, multivariable calculus, integral calc,( complex calc maybe?) or would they do it by hand since they are great at math?

I just wanted to spread some helpful stuff for everyone. If your teacher uses Quizizz, Kahoot, or Edpuzzle, this will be great. What you want to do for Quizizz and Edpuzzle is download "East's Script Hub" on Google Chrome. This will give you an answer highlighter, autoanswer, and Quizizz automatic answer key if you click on the menu (if it isn't working just refresh). For Kahoot, you can literally just search up "Kahoot Winner" and the first option will actually work lmao. Just wanted to help some people out there.
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Other useful things:
Photomath: take a picture of the math questions, and it will scan it and give you the answer + how to do it.
Quizlet: You can make a new study set with new terms, type in the term in one line and it will show the answer in the other. DM me if you want a further explanation.
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Symolab: Very advanced calculator and is extremely useful.
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DM me if you want me to tell you how to remove DyKnow (or merely disable it ) and change the administrator password without knowing it (I only know how to do it on Mac though).
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My DMs are open for questions! I hope this helped some people!

Buenas, vi el post de cómo desbloquear los pasos en el symolab y me pareció piola abrir este hilo para postear recursos/páginas/tips que les hubiera gustado tener cuando estaban arrancando la carrera o que les re sirvieron en su carrera. Gracias ❤️

Hello everyone, just need to know if what I did is right or wrong. I checked in symolab and the only answer that was off was the 1st one (which I have now corrected) yet for some reason the last time I entered my answer it came out wrong. Any help is appreciated !
http://imgur.com/gallery/e34WVJk

In the limit:
Lim t->0 (1/t)-1/(t*sqrt(1+t))
after I make both fractions the same denominator, i get:
(sqrt(1+t)-1)/(t*sqrt(1+t))
And then im stuck... I`ve spent the last 2 hours trying to figure out what to do. I tried multiplying by the conjugate, which i believe is:
(sqrt(1+t)+1)/(sqrt(1+t)+1)
But i keep getting weird results, which lead me to believe that im going in the wrong direction. The solution btw, is supposed to be 1/2.
I eventually tried symolab but it gave me something like:
1/(t+sqrt(t+1) +1)
and from that straight to the answer above (1/2).
So in sum, i can`t get from that simple reworking of the denominators (assuming that was a right step) to that symolab answer. What am i missing?
Thank you in advance for your help!