Question

Can it be that $f$ and $g$ are everywhere continuous but nowhere differentiable but that $f \circ g$ is differentiable?

score 764 · Answer 1 · 2015-12-12 14:54:32

764

Views

Can it be that $f$ and $g$ are everywhere continuous but nowhere differentiable but that $f \circ g$ is differentiable?

Published on 12 Dec 2015 - 14:54

score 412 · Answer 2 · 2015-12-15 06:23:57

412

Views

Can any function be written as a composition of other functions?

Published on 15 Dec 2015 - 6:23

score 1.8k · Answer 3 · 2015-12-15 13:43:28

1.8k

Views

Let $x^2+kx=0;k$ is a real number .The set of values of $k$ for which the equation $f(x)=0$ and $f(f(x))=0$ have same real solution set.

Published on 15 Dec 2015 - 13:43

score 1k · Answer 4 · 2015-12-16 08:40:43

1k

Views

Find $f \circ g$, $g \circ f$, $f \circ f$, $g \circ g$ where $f(x)=-1+|x-2|$ and $g(x)=2-|x|$.

Published on 16 Dec 2015 - 8:40

score 47 · Answer 5 · 2015-12-16 20:40:07

47

Views

Is it possible to find $g^k(x)$?

Published on 16 Dec 2015 - 20:40

score 106 · Answer 6 · 2015-12-18 15:54:43

106

Views

Domain of piecewise-defined functions composition

Published on 18 Dec 2015 - 15:54

score 54 · Answer 7 · 2015-12-19 13:20:19

54

Views

Basic algebra (composite functions)

Published on 19 Dec 2015 - 13:20

score 156 · Answer 8 · 2015-12-20 06:12:52

156

Views

Finding univalent function with $f(z_1)=z_2$

Published on 20 Dec 2015 - 6:12

score 304 · Answer 9 · 2015-12-20 15:58:53

304

Views

Proving an identity of the composition of the delta distribution with a differentiable function

Published on 20 Dec 2015 - 15:58

score 479 · Answer 10 · 2015-12-31 16:07:57

479

Views

Basic of $n$-fold iterations

Published on 31 Dec 2015 - 16:07

score 87 · Answer 11 · 2015-12-31 19:31:17

87

Views

Four Problems Concerning Orbits of Biconditional Functions $f: A \rightarrow A$

Published on 31 Dec 2015 - 19:31

score 214 · Answer 12 · 2016-01-07 00:34:09

214

Views

O(1) solution for number of times to apply iterated function

Published on 07 Jan 2016 - 0:34

score 90 · Answer 13 · 2026-03-28 02:05:21

90

Views

lim$_{n→∞}d(x_n, a) \neq d($lim$_{n→∞}x_n, a)$ in Metric Space - Implications

Published on 28 Mar 2026 - 2:05

score 2k · Answer 14 · 2016-01-07 22:02:48

2k

Views

Boyd & Vandenberghe, section 3.3.4 — Quasiconvexity of linear-fractional composition

Published on 07 Jan 2016 - 22:02

score 6.9k · Answer 15 · 2016-01-17 16:54:43

6.9k

Views

$g\circ f$ bijective iff $f$ and $g$ bijective?

Published on 17 Jan 2016 - 16:54

List Question

Can it be that $f$ and $g$ are everywhere continuous but nowhere differentiable but that $f \circ g$ is differentiable?

Can any function be written as a composition of other functions?

Let $x^2+kx=0;k$ is a real number .The set of values of $k$ for which the equation $f(x)=0$ and $f(f(x))=0$ have same real solution set.

Find $f \circ g$, $g \circ f$, $f \circ f$, $g \circ g$ where $f(x)=-1+|x-2|$ and $g(x)=2-|x|$.

Is it possible to find $g^k(x)$?

Domain of piecewise-defined functions composition

Basic algebra (composite functions)

Finding univalent function with $f(z_1)=z_2$

Proving an identity of the composition of the delta distribution with a differentiable function

Basic of $n$-fold iterations

Four Problems Concerning Orbits of Biconditional Functions $f: A \rightarrow A$

O(1) solution for number of times to apply iterated function

lim$_{n→∞}d(x_n, a) \neq d($lim$_{n→∞}x_n, a)$ in Metric Space - Implications

Boyd & Vandenberghe, section 3.3.4 — Quasiconvexity of linear-fractional composition

$g\circ f$ bijective iff $f$ and $g$ bijective?

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