query: Solving $f(x)=a,a \in A$?
positive_passages.docid: 77877
positive_passages.text: Is there a domain "larger" than (i.e., a supserset of) the complex number domain?
negative_passages.docid: 89705
negative_passages.text: How to solve $a_n = 2a_{n-1} + 1, a_0 = 0, a_1 = 1$?
negative_passages.docid: 49211
negative_passages.text: Solving $f(x+y) = f(x)f(y)f(xy)$
negative_passages.docid: 23485
negative_passages.text: Solving $\forall x \in \mathbb{R}_+^*, f'(x) = f\left(\frac1{x}\right)$
negative_passages.docid: 82597
negative_passages.text: How to find $ f(x)$ if $f(1-f(x))=x$ for all $x$ $\in \mathbb{R}$
negative_passages.docid: 13575
negative_passages.text: Need help for proving that: $f(f^{-1}(A)) ⊆ A$
negative_passages.docid: 66406
negative_passages.text: How to calculate $f(x)$ in $f(f(x)) = e^x$?
negative_passages.docid: 55175
negative_passages.text: Is the function $f(x) = x^2 - 2x$ one-to-one?
negative_passages.docid: 104609
negative_passages.text: For which $a$ does the equation $f(z) = f(az) $ has a non constant solution $f$
negative_passages.docid: 409
negative_passages.text: functions satisfying $f(x - y) = f(x) f(y) - f(a - x) f(a + y)$ and $f(0)=1$
negative_passages.docid: 32599
negative_passages.text: Solution to the functional equation $f(x^y)=f(x)^{f(y)}$
negative_passages.docid: 24810
negative_passages.text: Functions satisfying $(b-a)f'(\tfrac{a+b}{2}) = f(b)- f(a)$
negative_passages.docid: 121237
negative_passages.text: Solving $x - a \log(x)=b$
negative_passages.docid: 155806
negative_passages.text: (Olympiad Question) $f(2x) + 2f(y) = f(f(x+y))$
negative_passages.docid: 147325
negative_passages.text: Proving that if $f(x)=x$ has no real solution then $f(f(x))=x$ has no real solution either
negative_passages.docid: 117353
negative_passages.text: Polynomial equation $f(x)f(2x^2)=f(2x^3+x)$
negative_passages.docid: 106748
negative_passages.text: Number of functions $f : A \to A$ such that $f(f(x))=f(x)$