Chapter 1, Problem 40RE

In each part, sketch the graph, and check your work with a graphing utility.

(a) $f\left(x\right)=3{\sin }^{-1}\left(x/2\right)$

(b) $f\left(x\right)={\cos }^{-1}x-\pi /2$

(c) $f\left(x\right)=2{\tan }^{-1}\left(-3x\right)$

(d) $f\left(x\right)={\cos }^{-1}x+{\sin }^{-1}x$