exam Maths Puzzle Numerical Ability

find domain and range

f(x)=2-square root xsquared+3x+2divided by x squared+5x+4

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X^2-6x+4>0. Problem is, the 4 and -6 are not factorable. I tried using quadratic formula and -6^2 is an imaginary #. I ended up getting 3+ or - square root 6i-16. An initial population of 730 quail increases at an anual rate of 20 perecent write an exponential function to model the quail population