Math Help - Finding the domain of an inverse sine function

1. Finding the domain of an inverse sine function

Hi, I really do not understand this question, if you could please solve and explain it, I would greatly appreciate it!

Here it is:

Find the domain.

f(x)= sin^-1 (5x)

Thank you so much!

2. Originally Posted by uhhuh
Hi, I really do not understand this question, if you could please solve and explain it, I would greatly appreciate it!

Here it is:

Find the domain.

f(x)= sin^-1 (5x)

Thank you so much!
Solve $-1 \leq 5x \leq 1$ for $x$.