New posts in functions

Functional equation $f(px)+p=[f(x)]^2$

real-analysis functions continuity functional-equations nonlinear-analysis

Loomis and Sternberg Problem 1.56

linear-algebra functions vector-spaces vectors problem-solving

Prove if a = b, then f(a) = f(b) for any function f (with natural deduction)

functions first-order-logic natural-deduction

How do you work out the inverse of functions such as $ f(x)= \frac{x}{ x^2-1} $?

calculus functions

Possible wrong answer to Spivak calculus chapter on graphs of functions

calculus functions graphing-functions

How many functions are possible to create in this example?

combinatorics functions discrete-mathematics proof-verification relations

Why is a bijection that preserves connectedness on $\mathbf{R}$ must be monotone?

functions connectedness monotone-functions

Stylistic usage of "of"

meaning-in-context functions

Rotate the graph of a function?

functions graphing-functions rotations quadratics absolute-value

Let $f :\mathbb{R}→ \mathbb{R}$ be a function such that $f^2$ and $f^3$ are differentiable. Is $f$ differentiable?

real-analysis complex-analysis functions derivatives

injection $\mathbb{N}\times\mathbb{N}\to\mathbb{N}$

elementary-set-theory functions

When is $f^{-1}=1/f\,$?

reference-request functions functional-equations

Which of the following statements are definitely correct?

algebra-precalculus functions

$f(16x)=16f(x) $ and $ f$ is continuous

functions continuity functional-equations

Find the value of $ [1/ 3] + [2/ 3] + [4/3] + [8/3] +\cdots+ [2^{100} / 3]$

algebra-precalculus functions

Is the function $f:\mathbb{R}^2\to\mathbb{R}^2$, where $f(x,y)=(x+y,x)$, one-to-one, onto, both?

functions elementary-set-theory

Show that every local homeomorphism is continuous and open therefore bijective local homeomorphism is a homeomorphism

general-topology functions proof-verification proof-writing proof-explanation

Doubt about ordinary and partial derivative

functions derivatives partial-derivative chain-rule euler-lagrange-equation

Can we always use the language of set theory to talk about functions?

functions elementary-set-theory

Composition of two functions - Bijection

functions function-and-relation-composition