query: What is the inverse of the following function?
positive_passages.docid: 22004
positive_passages.text: Inverse of $y = x^3 + x $?
negative_passages.docid: 78844
negative_passages.text: Inverting a function in a certain region
negative_passages.docid: 115236
negative_passages.text: Calculate the sum of inverse values of ${n\choose 0}, {n\choose 1}, ... {n\choose n}$
negative_passages.docid: 145279
negative_passages.text: Compute the (multiplicative) inverse of $4x+3$ in the field $\frac {\Bbb F_{11}[x]}{\langle x^2+1 \rangle}$?
negative_passages.docid: 55049
negative_passages.text: How to find the inverse modulo $m$?
negative_passages.docid: 152326
negative_passages.text: What is the inverse of the function $x \mapsto \frac{ax}{\sqrt{a^2 - |x|^2}}$?
negative_passages.docid: 45280
negative_passages.text: Is there an Inverse Gamma $\Gamma^{-1} (z) $ function?
negative_passages.docid: 149292
negative_passages.text: Inverse of a diagonal matrix plus a constant
negative_passages.docid: 141286
negative_passages.text: When is $\mathbf{X}^{T}\mathbf{X}+\lambda\mathbf{I}$ invertible?
negative_passages.docid: 50725
negative_passages.text: Inverse of function is continuous or not?
negative_passages.docid: 13193
negative_passages.text: Does a inverse function need to be either surjective or injective?
negative_passages.docid: 105416
negative_passages.text: How can I find an inverse to the Binet formula?
negative_passages.docid: 38192
negative_passages.text: Derivative of inverse function at a point.
negative_passages.docid: 69721
negative_passages.text: $(a,b) \mathbin\# (c,d)=(a+c,b+d)$ and $(a,b) \mathbin\&(c,d)=(ac-bd(r^2+s^2), ad+bc+2rbd)$. Multiplicative inverse?
negative_passages.docid: 86919
negative_passages.text: When (and more importantly, why) does $AA^T$ have an inverse?
negative_passages.docid: 75351
negative_passages.text: How to find inverse Modulo?
negative_passages.docid: 47166
negative_passages.text: Is there a function whose inverse is exactly the reciprocal of the function, that is $f^{-1} = \frac{1}{f}$?