Chapter 6.2, Problem 116AYU

(a)

To determine

The value of function $g(x)=\cos x$ at $x=\frac{\pi }{6}$ and point on the graph of $g(x)$.

(b)

To determine

The point on a graph of $g^{-1}$ using result of part (a).

(c)

To determine

The point on the graph of $y=2g\left(x-\frac{\pi }{6}\right)$ at a point $x=\frac{\pi }{6}$, where $g(x)=\cos x$.