Use Python to solve each problem. Answers should be written in full sentences. 1. (a) Given the following functions, use solveset() to solve the inequality f(x)0. i. f(x)=x3+5x24x20 ii. f(x)=3x3+x24x+7 iii. f(x)=2x23x+1x+3 iv. f(x)=3x2+x+4x23x4 (b) Verify each of your results by graphing the functions on domain [6,6]. 2. Given f(x)=x12x and g(x)=2x5, simplify the following and (iu a print statement) give their domains. (a) f(x)g(x) (b) f(x)g(x) (c) f(g(x)) (d) g(f(x)) 3. (a) Given f(x) from problem 2, use Python to find f1(x). Then, similar to Lab 3: Problem 3, use a for-loop to evaluate f(f1(a)) and f1(f(a)) for a[25,0,1,2,26]. (b) Comment on any similarities and differences you notice. Explain any differences