Thread: Rational Inequalities

A biologist predicted that the population of tadpoles in a pond could be modelled by the function f(t)= (40t)/((t^2)+1), where t is given in days. The function that actually models the tadpole population is g(t) = (45t) / ((t^2)+8t + 7).
Determine where g(t) > f(t).

There are a string of these problems.. How would I solve these kinds of questions?

Originally Posted by willman32

Determine where g(t) > f(t).

I'll get you started



Divide both sides by 5t



then cross multipling



expanding



and grouping all terms to 1 side



now you just need to solve this quadratic.