New posts in functions

Finding the family of functions satisfying $f(x + y)=f(x)f(y) - f(x-y)$

functions functional-equations

the derivative of the function defined on $\mathbb{R}$ by $f (x) = x^z$

real-analysis complex-analysis functions derivatives

If $f \circ g$ is onto then $f$ is onto and if $f \circ g$ is one-to-one then $g$ is one-to-one

functions elementary-set-theory function-and-relation-composition

Prove or disprove that the function $f(x)=x^{x^{x^{x}}}$ is convex on $(0,1)$

functions derivatives power-towers convexity-inequality

Prove that a function $g$ has no roots

algebra-precalculus functions

On certain algebraic functions on the interval $[0, 1]$

real-analysis functions algebraic-geometry analytic-functions

Find the value of infinite series $\sum_{n=1}^{\infty} \tan^{-1}(2/n^2)$

real-analysis sequences-and-series functions limits-without-lhopital

Show that $\mathbb{Q}\times \mathbb{Q}$ is denumerable [duplicate]

functions discrete-mathematics

Deriving even odd function expressions

calculus functions

Define a graph with segments or boundaries

functions graphing-functions

If $g \circ f$ is surjective, show that $f$ does not have to be surjective?

functions elementary-set-theory examples-counterexamples function-and-relation-composition

How is $\sin 90° = 1$ possible?

functions trigonometry triangles ratio

Prove that $f$ is injective if and only if $f^{-1}(f(x)) = x \; \; \forall x \in A$ [closed]

functions elementary-set-theory

Is any real-valued function in physics somehow continuous?

functions soft-question physics real-numbers

How do I come up with a function to count a pyramid of apples?

functions polynomials summation

Is answer of limit an exact value?

limits functions

Composite functions and one to one

Largest circle between $y=x^n$ and $y=\sqrt[n]{x}$

geometry functions optimization

Integers and integer functions

functions puzzle

Is it possible for the Lagrange multiplier to be equal to zero?

multivariable-calculus functions optimization lagrange-multiplier