New posts in functions

Prove that $\lfloor\frac{n+1}{2}\rfloor+\lfloor\frac{n+2}{4}\rfloor+\lfloor\frac{n+4}{8}\rfloor+\lfloor\frac{n+8}{16}\rfloor+ \dots=n$

calculus integration number-theory limits functions

Difference between function and equation

Prove composition of bijections is bijection

functions discrete-mathematics

Can two functions with different codomains be equal?

Draw graph of $\frac{1}{f(x)}$ from graph of $f(x)$

functions graphing-functions

definition of limsup of a function

real-analysis limits functions

Is the derivative of a monotonically increasing function positve? [duplicate]

calculus functions derivatives

One-to-one function from the interval $[0,1]$ to $\mathbb{R}\setminus\mathbb{Q}$?

real-analysis functions

APICS Mathematics Contest 1999: Prove $\sin^2(x+\alpha)+\sin^2(x+\beta)-2\cos(\alpha-\beta)\sin(x+\alpha)\sin(x+\beta)$ is a constant function of $x$

functions trigonometry proof-writing

Inverse of a composite function

algebra-precalculus functions solution-verification inverse-function function-and-relation-composition

Show $f:\Bbb{R}\to\mathbb{R}$ given by $f(x)=2x\cdot |x|+3$ is injective and surjective.

functions proof-writing solution-verification

Non-differentiability in $\mathbb R\setminus\mathbb Q$ of the modification of the Thomae's function

calculus real-analysis functions derivatives

What is the truth value if any for $f(x)=y$ when $x$ is outside of the domain of $f$?

functions elementary-set-theory logic provability

Do all odd functions have symmetric zeros?

functions roots parity

Example of a function continuous at only one point. [duplicate]

real-analysis functions continuity

subset of binary space countable?

sequences-and-series general-topology functions elementary-set-theory

Is Wolfram Alpha linear independence wrong or am I missing something?

linear-algebra functions wolfram-alpha

Prove the following property of $f(x)$?

calculus algebra-precalculus functions

If the function $f$ satisfies the equation $f(xf(y)+x)=xy+f(x)$, find $f$

functions functional-equations

How to prove $\exp(x)/(\exp(x)+1)^2$ is even?

calculus functions