The average rate of change is given by: [f(b)-f(a)]/[b-a] Given that: f(x)=(2x-1)/(3x+5) thus ARC=[f(6)-f(0)]/[6-0] f(6)=(2*6-1)/(3*6+5)=(12-1)/(18+5)=11/23 f(0)=(2*0-1)/(3*0+5)=(0-1)/(0+5)=-1/5 thus ARC=(11/23-(-1/5))/(6-0)=(11/23+1/5)/6=(78/115)/6=13/115
