Hello,

I need to prove the following but I am struggling to see where to start:

The image of a convex set $\displaystyle S \subseteq \mathbb{R}^n$ under an affine transformation i.e. the set $\displaystyle f(S)$ for $\displaystyle f(x)=Ax + b$, where $\displaystyle A \in \mathbb{R}^{m \times n}, b \in \mathbb{R}^m$

However, I know how to prove $\displaystyle f(x)=Ax + b$ convex.

Thanks in advance,

Best regards,

bravegag