Final answer:
The correct answer is option d. News of Sahomi's talent spread if she has received opportunities to perform outside her local area, indicated by receiving invitations to dance elsewhere.
Step-by-step explanation:
We can infer that news of Sahomi's talent as a dancer has spread if she has received recognition beyond her immediate community. In the context of dance and performance, such recognition often comes in the form of opportunities to perform in new venues or to different audiences.
Based on the choices provided, the correct answer is d) She received invitations to dance elsewhere. This indicates that people have heard about her and are interested in her performances, which is why she has been invited to dance in locations other than her native place.