91Ó°ÊÓ

Graph the following functions. $$f(x)=\left\\{\begin{array}{ll}\frac{x^{2}-x-2}{x-2} & \text { if } x \neq 2 \\\4 & \text { if } x=2\end{array}\right.$$

Let \(f(x)=x^{2}-4\) \(g(x)=x^{3},\) and \(F(x)=1 /(x-3) .\) Simplify or evaluate the following expressions. $$f(10)$$

Evaluate the following expressions or state that the quantity is undefined. Use a calculator only to check your work. $$\cos (-\pi)$$

Graph the following functions. $$f(x)=\left\\{\begin{array}{ll}3 x-1 & \text { if } x \leq 0 \\\\-2 x+1 & \text { if } x>0\end{array}\right.$$

Evaluate the following expressions or state that the quantity is undefined. Use a calculator only to check your work. $$\cos (-\pi)$$

a. Find the imerse of each function (on the given interval, if specified) and write it in the form \(y=f^{-1}(x)\). b. Verify the relationships \(f\left(f^{-1}(x)\right)=x\) and \(f^{-1}(f(x))=x\). $$f(x)=x^{2}+4, \text { for } x \geq 0$$

Let \(f(x)=x^{2}-4\) \(g(x)=x^{3},\) and \(F(x)=1 /(x-3) .\) Simplify or evaluate the following expressions. $$f\left(p^{2}\right)$$

Graph the following functions. $$f(x)=\left\\{\begin{array}{ll}3 x-1 & \text { if } x<1 \\\x+1 & \text { if } x \geq 1\end{array}\right.$$

Let \(f(x)=x^{2}-4\) \(g(x)=x^{3},\) and \(F(x)=1 /(x-3) .\) Simplify or evaluate the following expressions. $$g(1 / z)$$

Evaluate the following expressions or state that the quantity is undefined. Use a calculator only to check your work. $$\sec (5 \pi / 2)$$