I am looking for solution of the following: Is it possible to rewrite constraint
$\frac{a^T x}{c^T x + d} \leq K$,
where $x$ is vector variable and $K$ is scalar variable as well
as a convex constraint, i.e so it doesn't contain any multiplications. So far my considerations are that function on the left is quasiconvex(rational linear function), therefore it is possible to make a level set on it. However, the current form of the constraint is not implementable. Most likely that I have to think out about substitution, but can't work it out so far. Thanks.