Assignment:
a. Let f(x):= 1/(x^2), x does not equal zero, x elements of Reals determine the direct image f(E) where E= {x elements Reals: 1<=x<=2} determine the inverse image f^-1(G) where G= { x element of Reals: 1<=x<=4}
b. show that if a
c. for a,b,c elements of reals with a
d. if a,b elements of Reals show absval(a+b) = abs(a) + abs(b) if and only if ab >= 0
e. Find all x elements of reals that satisfy the following inequalities
i. abs(x-1) > abs(x+1) ii. abs(x) + abs(x+1) < 2
Provide complete and step by step solution for the question and show calculations and use formulas.