Math
For each function,
i) determine the corresponding reciprocal
function, y =1/f(x)
ii) state the nonpermissible values of
x and the equation(s) of the vertical
asymptote(s) of the reciprocal function
iii) determine the xintercepts and the
yintercept of the reciprocal function
iv) sketch the graphs of y = f(x) and
y = 1/f(x) on the same set of axes
a) f(x) = x^2  25
b) f(x) = x^2  6x + 5

I will do the first, you do the second
f(x) = x^2  25
let g(x) = 1/(x^2  25)
graphs: I assume you know what the parabola looks like, here is the reciprocal
http://www.wolframalpha.com/input/?i=plot++y+%3D+1%2F%28x%5E2++25%29
notice that at the xintercepts of the first one, namely x=±5, the reciprocal has asymptotes,
so vertical asymptotes at x = ± 5
there are no xintercepts, (since 1/(x^25) can never be zero.
for the yintercept , let x = 0
so 1/(025) = .04 (see graph)posted by Reiny

Thank you so much, the second one is easy now :)
posted by Patricia
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