1. What can be said about the domain of the functionf \circ gwheref(y)= \frac{4}{y-2}andg(x)= \frac{5}{3x-1}? Express it in terms of a union of intervals of real numbers. Go to www.desmos.com/calculator and obtain the graph off ,g , andf \circ g.

2. Find the inverse of the functionf(x)=4+ \sqrt{x-2}.

3. State the domains and ranges of both the function and the inverse function in terms of intervals of real numbers. Go to www.desmos.com/calculator and obtain the graph off , its inverse, andg(x)=xin the same system of axes. About what pair (a, a) are (11, 7) and (7, 11) reflected about?