I am not sure how I solve for f(x)=x when both a and b are any variables. Please help

is Assignment 1 You are expected to provide full solutions with complete justications. You will be graded on the coectness, coherence and elegance of your solutions. Your solutions must be typed, with your name and student number at the top of the rst page, and submitted in PDF format. The BenettonHolt model dmuibes the growth in a given population from one generation to the next. It is Elven by u 1(2)= HM, where a: is the population in a given generation, x) is the population in the next, and o > 1 and b > 0 are constants. Because 1 represents a population, the domain is restricted to 2 2 D. An alternative model is the Hassell model, given by A2 9(3) = W' where z is the population in a given generation, 9(2) is the population in the next, and A, C > 1 and B > 0 are constants, with C an integer. Again, bemuse s reprwents a population, the domain is restricted to 2 2 D. 1. (a) Find the horizontal asymptote of {(z). (b) Find the horizontal asymptote of g(:). (c) The two models propose di'erent horizontal asymptotes. In a paragraph, describe what the two di'erent asymptote repraent, with repeat to the populations being modelled. Which asymptote do you nd more plausible, and why? 2. (a) Solve the equation I (1) = :c. (b) Solve the equation 9(5) = z. (c) The solutions in parts (a) and (b) are known as fired points. In a paragraph, describe what xed points represent, with respect to the populations being modelled. (d) A xed point so of the population described by the BevertonHolt model is said to be stable if |f'(zn)| 1. In a paragraph, dmcribe what it means for a xed point to be stable, with respect to the population being modelled. Then argue why the above labelling makes sense. (Note that you are not being mixed to prove that |f'(a:0)|