2. (12 pts) The following functions are either the product, quotient, or composition of two continuous functions. For each of the following.
i) Determine the two functions and whether they are being multiplied, divided, or composed.
ii-iv) Determine whether the functions are continuous at -1, 0, and 1. Justify your answer.
Example: \"$f(x) = \sin(x) + \sqrt{x}$ is the sum of $\sin(x)$ and $\sqrt{x}$. $f(x)$ is continuous at 0 and 1 because $\sin(x)$ and $\sqrt{x}$ are both continuous on $[0, \infty)$. $f(x)$ is not continuous at -1 because $\sqrt{x}$ is not defined at -1." (And we're not using imaginary numbers.)
a. $f(x) = \ln(x)\cos(x)$
b. $g(x) = \ln(\cos(x))$
c. $h(x) = \frac{x^2}{\sqrt{x}}$
