List questions from function-and-relation-composition

86

Views

Proof verifications: Elementary composition proofs. (if $g\circ f$ is one-to-one, then show $f$ is one-to-one etc.)

Published on 23 Mar 2026 - 0:39

123

Views

Easy looking functional equation.

Published on 22 Mar 2026 - 11:03

258

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Find matrix associated to linear transformation

Published on 22 Mar 2026 - 15:57

581

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Inverse of a map $T_{(p,q)}(X \times Y) \to T_p X \times T_p Y$

Published on 23 Mar 2026 - 1:12

177

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Prove that composition functions are surjective

Published on 23 Mar 2026 - 6:24

68

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Function Composition Formulas

Published on 22 Mar 2026 - 23:06

622

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Residue of composite functions

Published on 23 Mar 2026 - 10:38

62

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Are there functions (or category of functions) that satisfy following conditions?

Published on 22 Mar 2026 - 19:22

128

Views

How many successive logs until a number becomes $1$?

Published on 22 Mar 2026 - 20:37

1.4k

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What numbers can be created by $1-x^2$ and $x/2$?

Published on 22 Mar 2026 - 18:29

2.4k

Views

About the convexity of the composition of two convex functions

Published on 22 Mar 2026 - 18:46

93

Views

Functional Square Root of $1-x^3$

Published on 25 Mar 2026 - 6:56

415

Views

Non-trivial solutions of a functional equation $(f \circ f \circ f)(x)=x$

Published on 24 Mar 2026 - 23:56

1.2k

Views

(f o g) o f composition function

Published on 22 Mar 2026 - 6:45

707

Views

Concavity of composition

Published on 22 Mar 2026 - 12:03

List Question

Proof verifications: Elementary composition proofs. (if $g\circ f$ is one-to-one, then show $f$ is one-to-one etc.)

Easy looking functional equation.

Find matrix associated to linear transformation

Inverse of a map $T_{(p,q)}(X \times Y) \to T_p X \times T_p Y$

Prove that composition functions are surjective

Function Composition Formulas

Residue of composite functions

Are there functions (or category of functions) that satisfy following conditions?

How many successive logs until a number becomes $1$?

What numbers can be created by $1-x^2$ and $x/2$?

About the convexity of the composition of two convex functions

Functional Square Root of $1-x^3$

Non-trivial solutions of a functional equation $(f \circ f \circ f)(x)=x$

(f o g) o f composition function

Concavity of composition

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