List questions from function-and-relation-composition

Published on 30 Apr 2015 - 6:46

455

Views

Show that $g$ is one-one if and only if $g$ is onto.

Published on 02 May 2015 - 13:40

736

Views

If $ f $ is injective and $ g $ is injective, then $ f \circ g $ is surjective.

Published on 03 May 2015 - 16:48

487

Views

The composition of a nowhere-differentiable function with a differentiable function.

Published on 05 May 2015 - 15:49

1.6k

Views

Permutations, compositions and associativity properties

Published on 26 Mar 2026 - 3:00

412

Views

If a composition of two maps is smooth, as well as one of the maps, then so is the other.

Published on 14 May 2015 - 14:38

44

Views

How to determine a function from a sequence of consecutively composed functions?

Published on 17 May 2015 - 0:20

31

Views

Differentiate $g\circ f$ transformation

Published on 17 May 2015 - 13:01

74

Views

How to find $g(x)$, if: $f(x)=(x+1)/x$, and $f(g(x))=x$?

Published on 23 May 2015 - 15:06

215

Views

which functions can be obtained as a composition of a continuous function with itself?

Published on 25 May 2015 - 13:44

54

Views

Composing Linear Transformations

Published on 25 May 2015 - 21:32

110

Views

For a function Y : X→X , if Y is injective, then Y∘Y∘Y is injective.

Published on 26 May 2015 - 4:05

34

Views

Struggling with a problem in functions.

Published on 07 Jun 2015 - 11:36

692

Views

While finding points of discontinuity for a composite function do I need to consider the points of discontinuity of individual functions too.

Published on 08 Jun 2015 - 4:48

245

Views

Convergence in probability of function composition.

Published on 14 Jun 2015 - 17:17

List Question

Taylor Expansion of Composition of Functions

Show that $g$ is one-one if and only if $g$ is onto.

If $ f $ is injective and $ g $ is injective, then $ f \circ g $ is surjective.

The composition of a nowhere-differentiable function with a differentiable function.

Permutations, compositions and associativity properties

If a composition of two maps is smooth, as well as one of the maps, then so is the other.

How to determine a function from a sequence of consecutively composed functions?

Differentiate $g\circ f$ transformation

How to find $g(x)$, if: $f(x)=(x+1)/x$, and $f(g(x))=x$?

which functions can be obtained as a composition of a continuous function with itself?

Composing Linear Transformations

For a function Y : X→X , if Y is injective, then Y∘Y∘Y is injective.

Struggling with a problem in functions.

While finding points of discontinuity for a composite function do I need to consider the points of discontinuity of individual functions too.

Convergence in probability of function composition.

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