Function Domain of cubic root [duplicate]
updates

Function Domain of cubic root [duplicate]

Does the domain of the function $y=\sqrt[3]{x^3+1}$ include $x<-1$? If yes, why is Mathematica and Wolfram Alpha not plotting that part of the function?

Published: Aug 13, 2026

Why are horizontal transformations of functions reversed?
news

Why are horizontal transformations of functions reversed?

While studying graph transformations I came across horizontal and vertical scale and translations of functions. I understand the ideas below. $f(x+a)$ - g...

Published: Aug 13, 2026

How to convert a fraction into ternary?
news

How to convert a fraction into ternary?

In a ternary system how is $\dfrac{1}{2}=0.\bar1$ ,$\dfrac{1}{3}=0.1=0.0\bar2$??, etc. In general, how does one write the ternary expression for a given f...

Published: Aug 13, 2026

Is there a symbol, or abbreviation for coefficient of x
general

Is there a symbol, or abbreviation for coefficient of x

Doing some binomial expansions with algebra where I need to equate different coefficients together but don't know what to write: [Coefficient of $x^3...

Published: Aug 13, 2026

Why is this the basis for the indiscrete topology?
general

Why is this the basis for the indiscrete topology?

Indiscrete topology only has $\{\varnothing, X\}$ where $X$ is the entire space. I know this is probably a dumb question. Why is the basis (according to w...

Published: Aug 13, 2026

Questions tagged [complex-integration]
general

Questions tagged [complex-integration]

Q&A for people studying math at any level and professionals in related fields

Published: Aug 13, 2026

Probability that exactly 2 balls are white
updates

Probability that exactly 2 balls are white

What I did. I let $X$ be number of withdraws before $x$ white balls. We can call our succes in this case to be gettin a white ball and probability is of c...

Published: Aug 13, 2026

If $(x^2-5x+4)(y^2+y+1)<2y$ for all real values of $y$ then what interval does $x$ belong to?
updates

If $(x^2-5x+4)(y^2+y+1)<2y$ for all real values of $y$ then what interval does $x$ belong to?

Okay so I'm stuck on this one for a long time : If $(x^2-5x+4)(y^2+y+1)<2y$ for all real values of $y$ then what interval does $x$ belong to? My T...

Published: Aug 13, 2026

How to find center of a circle from only an arbitary arc of that circle
news

How to find center of a circle from only an arbitary arc of that circle

How to find the center of a circle with given an arbitrary arc. we only have the arc nothing else. Is there any known equation or way to complete the circle.

Published: Aug 13, 2026

Proof that the derivative of a constant is zero
general

Proof that the derivative of a constant is zero

I know that the derivative of a constant is zero, but the only proof that I can find is: given that $f(x) = {x}^{0}$, $$ f'(x) = \lim_{h\to 0} \frac ...

Published: Aug 13, 2026

Trending