I think the better option here is to use the set builder notation for presentation Here is the answer {t | -1 < t < 3 and t is element of real numbers} (I don't have math symbols in my keyboard)
Whenever we are talking about graphing we always only talk about real numbers only because we don’t have enough spatial dimensions to graph if the input and output are complex (you would need 4 or 6 dimensions to plot it) Yes if you do complex analysis we still study complex functions where the input and output are allowed to be complex but thats beyond the scope of his audience
@@Ninja20704 I was asking as a former physics student, so I'm not really familiar with finding the domain, and didn't immediately think of plotting a graph (though we did do some vector calculus and complex numbers). I do have a book given to me by a former maths student called complex analysis (by Stewart and Tall), but I didn't really understand it. I would like to though.
Let's get some r dot, r double dot and r triple dot going. I've lost a satellite let's unite and find it.
I think the better option here is to use the set builder notation for presentation
Here is the answer
{t | -1 < t < 3 and t is element of real numbers}
(I don't have math symbols in my keyboard)
Is there a faster way to get domains and ranges of composite functions using calculus?
👍
Believe me as a 4th grader student I solved this 😊
Nice.
What about the range?
Is there a reason this has to be real, not complex? (the condition where you say the part inside the square root has to be positive)
Whenever we are talking about graphing we always only talk about real numbers only because we don’t have enough spatial dimensions to graph if the input and output are complex (you would need 4 or 6 dimensions to plot it)
Yes if you do complex analysis we still study complex functions where the input and output are allowed to be complex but thats beyond the scope of his audience
@@Ninja20704 I was asking as a former physics student, so I'm not really familiar with finding the domain, and didn't immediately think of plotting a graph (though we did do some vector calculus and complex numbers). I do have a book given to me by a former maths student called complex analysis (by Stewart and Tall), but I didn't really understand it. I would like to though.
What abou the (2^t)? Not important?
4:50 he mentions that 2^t is defined for all real numbers so it doesn’t matter. There’s no restriction on the domain due to it.
What's the domain of 2^t?
@@General12th all real numbers. its range is (0,inf)
He said 2^t exists for all t that belongs to R, so it does not add any restrictions. But my anxious ahh will write it anyway, just in case lmao
@@blazegamer0087 You mean (-inf, inf)?