New posts in functions

Non-computable function having computable values on a dense set of computable arguments

complex-analysis functions algorithms computability

Find all functions on the non-zero reals to itself satisfying $f(xy)=f(x+y)(f(x)+f(y))$

algebra-precalculus functions functional-equations

Composition of injections (proof)

functions elementary-set-theory

Number of functions $f : A \to A$ such that $f(f(x))=f(x)$

combinatorics functions elementary-set-theory

Codomain as part of the definition of a function

functions elementary-set-theory soft-question definition

Existence and uniqueness of a function generalizing a finite sum of powers of logarithms

functions summation logarithms convex-analysis analyticity

Range of: $\sqrt{\sin(\cos x)}+\sqrt{\cos(\sin x)}$

Inverse function of $x^{x^x}$

sequences-and-series functions inverse inverse-function

Prove that $\exists x_0, x_1\in (0,1)$, such that $\frac{f'(x_0)}{x_0}+\frac{f'(x_1)}{x_1^2}=5$

calculus functions derivatives

Solving a radical equation for real $x$

algebra-precalculus functions roots radicals

Inverse of $x\log(x)$ for $x>1$

functions inverse

Solution of $ f \circ f=f'$

ordinary-differential-equations functions

Does the Laplace transform biject?

functions examples-counterexamples laplace-transform

How to find the inverse of $f(x)=x+ \frac{x^{3}}{1+x^{2}}$?

algebra-precalculus functions inverse-function

Proving that this function has the same value for all integers $\geq4$. [duplicate]

algebra-precalculus number-theory elementary-number-theory functions functional-equations

Injective vs. Bijective

Solving the functional equation $f(x+1) - f(x-1) = g(x)$

functions functional-equations

Confused about the domain of this function

If $f(x + 1) + f(x − 1) = f(x), \forall x \in \mathbb{R}$,then how to find $k$ such that $f(x + k) = f(x)$?

algebra-precalculus functions

For a function from $\mathbb{R}$ to itself whose graph is connected in $\mathbb{R} \times \mathbb{R}$, yet is not continuous