Primitive function/Shifted argument/Exercise

Let ${}f\colon \mathbb {R} \rightarrow \mathbb {R} ,x\mapsto f(x)$, be a continuous function, and let ${}F(x)$ be a primitive function

for ${}f(x)$. Show that ${}F(x-a)$ is a primitive function for ${}f(x-a)$.

Create a solution