Math advance functions gr 12
posted by james on .
use the asymptotes and intercepts to make a quick sketch of the function f(x)= x2 (numerator) x+4(denominator) and its reciprocal f^r = x+4 (numerator) x2 (denominator) on the same set of axes.
b) describe the symmetry in the graphs in part a)
c) determine the intervals of increase and decrease for both f and f^r, how do the sets of intervals compare?
d) would the pattern occur for all pairs of functions f(x)= x+b (numerator) x+d and f^r(x) = x+d (numerator)and x+b (denominator)? explain why or why not?

so we have
f(x) = (x2)/(x+4)
and
g(x) = (x+4)/(x2)
Using one of my favourite websites:
Wolfram
http://www.wolframalpha.com/input/?i=plot+%28x2%29%2F%28x%2B4%29%3B%28x%2B4%29%2F%28x2%29
You should be able to answer your questions from the graph of the two functions