The net harvesting efficiency EEE of a solar panel array over time ttt (in years) is modeled by the function:
E(t)=3−t−2t+4+t+702t2+5t−12,t>4 E(t) = 3 - \frac{t - 2}{t + 4} + \frac{t + 70}{2t^2 + 5t - 12}, \quad t > 4 E(t)=3−t+4t−2+2t2+5t−12t+70,t>4Show that
E(t)=at+bct+d,t>4 E(t) = \frac{at + b}{ct + d}, \quad t > 4 E(t)=ct+dat+b,t>4where a,b,ca, b, ca,b,c and ddd are integers to be found.
Determine an expression for E−1(x)E^{-1}(x)E−1(x).
Find the domain of E−1E^{-1}E−1.
