Question

For some arbitrarily fast growing function $f$ and a strictly sublinear function $g$, can $g \circ \cdots \circ g \circ f$ always grow polynomially?

score 264 · Answer 1 · 2016-05-27 23:49:32

For some arbitrarily fast growing function $f$ and a strictly sublinear function $g$, can $g \circ \cdots \circ g \circ f$ always grow polynomially?

score 952 · Answer 2 · 2016-06-03 18:21:20

952

Views

Let $(f \circ g)(x) = x^2 +2x -1$. Find $f(x)$ if $g(x) = x+2$

Published on 03 Jun 2016 - 18:21

score 264 · Answer 3 · 2016-06-06 01:22:08

264

Views

Disprove: $f\circ g = f \circ h \implies g=h$ for a surjective function $f$

Published on 06 Jun 2016 - 1:22

score 37 · Answer 4 · 2016-06-06 02:01:39

37

Views

Prove $r \circ f = s \circ f \implies r =s$ holds for a surjection $f$.

Published on 06 Jun 2016 - 2:01

score 145 · Answer 5 · 2016-06-08 11:57:01

145

Views

When can composition of functions break?

Published on 08 Jun 2016 - 11:57

score 45 · Answer 6 · 2016-06-11 12:06:05

45

Views

2 ways of solving derivative of composition of functions?

Published on 11 Jun 2016 - 12:06

score 3.3k · Answer 7 · 2016-06-11 13:03:44

3.3k

Views

How to put derivative of composition in Jacobian matrix?

Published on 11 Jun 2016 - 13:03

score 201 · Answer 8 · 2016-06-14 07:23:55

201

Views

Is $ f \circ g $ invertible in the diagram below?

Published on 14 Jun 2016 - 7:23

score 125 · Answer 9 · 2016-06-16 02:09:04

125

Views

Circles and generic implicit functions

Published on 16 Jun 2016 - 2:09

score 31 · Answer 10 · 2016-06-17 19:55:11

31

Views

Finding the upper derivitive of the compostion of two functions

Published on 17 Jun 2016 - 19:55

score 1.1k · Answer 11 · 2016-06-20 10:27:47

1.1k

Views

What's the order of operations when dealing with function composition?

Published on 20 Jun 2016 - 10:27

score 361 · Answer 12 · 2016-06-21 15:09:41

361

Views

Question about the composite of a homeomorphism and a continuous onto function.

Published on 21 Jun 2016 - 15:09

score 1.9k · Answer 13 · 2016-06-21 17:25:13

1.9k

Views

Prove any function can be written as a composition between an injective and a surjective function.

Published on 21 Jun 2016 - 17:25

score 152 · Answer 14 · 2026-03-27 13:03:37

152

Views

Prove that if B(0) = 0, then A(B(x)) is a formal power series

Published on 27 Mar 2026 - 13:03

score 195 · Answer 15 · 2026-03-27 11:24:25

195

Views

Writing one formal power series as a function of another

Published on 27 Mar 2026 - 11:24

List Question

For some arbitrarily fast growing function $f$ and a strictly sublinear function $g$, can $g \circ \cdots \circ g \circ f$ always grow polynomially?

Let $(f \circ g)(x) = x^2 +2x -1$. Find $f(x)$ if $g(x) = x+2$

Disprove: $f\circ g = f \circ h \implies g=h$ for a surjective function $f$

Prove $r \circ f = s \circ f \implies r =s$ holds for a surjection $f$.

When can composition of functions break?

2 ways of solving derivative of composition of functions?

How to put derivative of composition in Jacobian matrix?

Is $ f \circ g $ invertible in the diagram below?

Circles and generic implicit functions

Finding the upper derivitive of the compostion of two functions

What's the order of operations when dealing with function composition?

Question about the composite of a homeomorphism and a continuous onto function.

Prove any function can be written as a composition between an injective and a surjective function.

Prove that if B(0) = 0, then A(B(x)) is a formal power series

Writing one formal power series as a function of another

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