What is the domain of $y=\arctan \left(4x\right)$?

What is the range of $y=3\arcsin (x)$?

Why must the domain of $y=\sin (x)$ be restricted before an inverse function can be defined?

Which of these expressions is undefined?

What is the domain of $y=\arcsin \left(3x-2\right)$?

One inverse trigonometric function takes only arguments in $[-1,1]$ and returns angles that are never negative. Which function is it?

What is the domain of $y=\arcsin \left(4x+1\right)$?

What is the range of $y=3\arctan (x)$?

Which of these expressions is undefined?

What is the range of $y=2\arcsin (x)$?

What is the domain of $y=\arccos \left(2x+1\right)$?

Which of these expressions is undefined?

What is the range of $y=2\arccos (x)$?

Why must the domain of $y=\tan (x)$ be restricted before an inverse function can be defined?

One inverse trigonometric function has the domain $\left(-\infty ,\infty \right)$. Which function is it?

Which of these expressions is undefined?

Why must the domain of $y=\cos (x)$ be restricted before an inverse function can be defined?

One inverse trigonometric function has the range $\left(-\frac{\pi }{2},\frac{\pi }{2}\right)$, open at both ends. Which function is it?

What is the range of $y=2\arctan (x)$?

What is the domain of $y=\arccos \left(4x\right)$?