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4
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Will the roots of $p(p(x))=0$ be purely real or purely imaginary or neither?
Question
The quadratic equation $p(x)=0$ with real coefficients has purely imaginary roots. Then the equation $p(p(x))=0$ will have -
a) only purely imaginary roots
b) all real roots
c) two real and ...
- 175
3
votes
3
answers
208
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From which set does the number $\sqrt[3]{-1}$ belong to?
I was trying to draw the function $f(x)=\sqrt[3]{x^2(6-x)}$ by hand (I'm in my first year of engineering; having Calculus I; this drawing is actually an exercise given for my class) and used ...
0
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1
answer
489
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a function defined on the complex numbers
A function $f$ is defined on the complex numbers by $$f(z) = (a + bi)z,$$where $a$ and $b$ are positive real numbers. This function has the property that the image of each point in the complex plane ...
- 4,581
0
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2
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Is there an odd function $g$ over the reals such that $g(0)\ne0$ [closed]
Is there an odd function $g$ on domain $\mathbb{R}$, where $g(0)$ isn't equal to $0$ ?
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