You may use a calculator on this quiz. You may not use a cell phone or computer. To receive full credit please show your work carefully and give justifications for your answers. If you find that you are spending a lot of time on one problem, leave it blank and move on to the next. There are questions on both sides of this quiz paper.

- (30 points) For the functions f(x) = 1/x and g(x) = (1/x)²:

a) Find and simplify an equation for (f + g)(x).b) Find the domain of (f + g)(x).

c) Find and simplify an equation for (f(g(x)).

- (20 points) Does the function described by the table below have
an inverse function? Justify your answer.
**x**-1 0 1 2 3 4 **h(x)**-2 1 2 1 -3 -6 - (10 points) Find the inverse of the function f(x) = 4/x.
- (20 points) Give the equation of a third degree polynomial with
zeros at -1 and 2. (There is more than one correct answer to this
question.)
- (20 points) Find the equation of a parabola with vertex (3,4) and
y-intercept (0, -5). (You may leave the equation in standard form.)