(a) Assume that f(x) is a function defined by f(x) x²-3x+1 2x - 1 for 2 ≤ x ≤ 3. Prove that f(r) 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 |x-c ≤ 8 implies √ √ ≤ €. [4,4]
