New posts in functions

Let $f,g \in \mathbb{R}[x]$ , $f(x)+g(x)=5$ and $f(g(x))=8-4x $ find $g(2)$

real-analysis calculus algebra-precalculus analysis functions

Prove that functions map countable sets to countable sets

functions set-theory cardinals axiom-of-choice

Is there a function with this property?

analysis functions

Is my proof that $f(x)$ where $f(f(x)) = 6x - f(x)$ for all $f:R+→R+$ is linear correct?

functions contest-math functional-equations

Is 'every exponential grows faster than every polynomial?' always true?

functions discrete-mathematics algorithms asymptotics

If $g \circ f$ is the identity function, then which of $f$ and $g$ is onto and which is one-to-one? [closed]

functions elementary-set-theory

What is the domain of $x^x$ as a real valued function?

calculus functions

Inverse of $f(x)=\sin(x)+x$

functions inverse

Can every continuous function be continuously ''transformed'' into a differentiable function?

real-analysis functions examples-counterexamples

Determining whether a piecewise function is odd or even

functions piecewise-continuity even-and-odd-functions

Relation of bijective functions and even functions?

functions even-and-odd-functions

The meaning of notation like $f\colon \mathbb R^2 \to \mathbb R$, $x \in \mathbb R^n$, and $x \in \mathbb R$.

linear-algebra functions notation

Why does notation for functions seem to be abused and ambiguous?

functions notation

When do two functions become equal?

functions elementary-set-theory

Formula of a modified Sinusoidal function

Range of $f(x) = \frac{1}{x^2 - x +1}$

If $f(x)$ has a vertical asymptote, does $f'(x)$ have one too?

calculus functions derivatives

Given $f(f(x))$ can we find $f(x)$?

algebra-precalculus functions functional-equations

What does the function f: x ↦ y mean?

functions notation

Prove: Any open interval has the same cardinality of $\Bbb R$ (without using trigonometric functions)

functions elementary-set-theory cardinals