(a) Assume that f(x) is a function defined by
F (x)= x²-3x+1 / 2x - 1
for 2 ≤ x ≤ 3.
Prove that f(x) is bounded for all x satisfying 2 ≤ x ≤ 3.
(b) Let g(x)=√x with domain {x | x ≥ 0}, and let € > 0 be given. For each c> 0, show that there exists a d such that r -c ≤ 8 implies |√ - √c ≤ €.
