query: Function and their inverses
positive_passages.docid: 26562
positive_passages.text: Inverse of $f(x)=\sin(x)+x$
negative_passages.docid: 75548
negative_passages.text: second derivative of the inverse function
negative_passages.docid: 63146
negative_passages.text: Proof of properties of injective and surjective functions.
negative_passages.docid: 145573
negative_passages.text: How to show that $f$ is a zero function?
negative_passages.docid: 42218
negative_passages.text: How to find out the following function f which is a function of r?
negative_passages.docid: 57938
negative_passages.text: When do two functions become equal?
negative_passages.docid: 126698
negative_passages.text: measurability of a function -equivalent conditions
negative_passages.docid: 78698
negative_passages.text: Prove if $f$ has a right inverse function: $f\circ g=id_x$ $\iff$ $f$ is onto $Y$
negative_passages.docid: 157925
negative_passages.text: How to prove that the implicit function theorem implies the inverse function theorem?
negative_passages.docid: 40868
negative_passages.text: Composition of two functions - Bijection
negative_passages.docid: 133083
negative_passages.text: Injectivity and surjectivity of a recursive function
negative_passages.docid: 157211
negative_passages.text: Find the derivative of the inverse of this real function $f(x) = 2x + \cos(x)$
negative_passages.docid: 79575
negative_passages.text: The sum of integrals of a function and its inverse: $\int_{0}^{a}f+\int_{0}^{f(a)}f^{-1}=af(a)$
negative_passages.docid: 78844
negative_passages.text: Inverting a function in a certain region
negative_passages.docid: 84436
negative_passages.text: third derivative of inverse function
negative_passages.docid: 107400
negative_passages.text: Can there be an injective function whose derivative is equivalent to its inverse function?
negative_passages.docid: 126025
negative_passages.text: Computing the inverse of a permutation