Constructing an F[x]-module from a vector space V.

Question

I'm working through Dummit and Foote (module theory), and I'm having a tough time understanding the following:

for any two linear transformations $A,B$ from $V$ to $V$ and elements $\alpha,\beta\in F$, let $\alpha A+\beta B$ be defined by \begin{equation*} (\alpha A+\beta B)(v)=\alpha(A(v))+\beta(B(v)) \end{equation*} where $F$ is a field and $V$ is a vector space over $F$.

Shouldn't this be \begin{equation*} (\alpha A+\beta B)(v)=\alpha A(v)+\beta B(v) \end{equation*}

Is this a typo or do I have a misunderstanding? Thanks in advance.