When reading this post, I become confused about what it means for a map to intersect transversally. To help conceptualize things better here's my question.
Let $f:\mathbb{R}^d \rightarrow \mathbb{R}^n$ be a once continuously differentiable function, $d\geq n>0$ be (positive) integers, and let $x \in \mathbb{R}^n$. When does $f$ intersect transversally with $x$?