The famous biologist Dr$.$ Mike Rowe$-$Scope predicted that the population of tadpoles in a pond could be modelled by the function $f(t)=\frac{40t}{t^2-4},$ where $t$ is given in days and $t0.$ He was corrected by the even more famous biologist Dr$.$ Di Section who stated that the function that actually models the tadpole population is $g(t)=\frac{45t}{t^{2}5t-14}.$ Determine the interval$($s$)$ on which $g(t)>f(t).$