Must show all your work.

Exercise 1: (5 pts) Solve the following equalities or inequalities: (i) x - 2(x +1)s1 (ii) 3x -6(x -1) =-2 (iii) x-1 x+1 2 -3 (iv) 3 X (v) x - 5x5-6 x+1 x-1 Exercise 2: (6 pts) For each function rule below, write the domain of the corresponding function in interval form, and find x-intercepts of the graphs when they exist. (i) f( x) =x+2 (ii) f (x) = Vx -4 (iii) f (x) = 3+ Vx- -4 (iv) f (x) =- 3 4-x xtl x-1 (v)f (x) = log2 (x+3) (vi) f(x) = log2 (x2 -1) Exercise 3: (6 pts) Solve the following equations: a) 23r = 161-z b) 257 = 57 +6 c) In(x?) = (In(2))2 d) logg(2 - 4) + log3(2 + 4) = 2 Exercise 4: (3 pts) Evaluate the following: a) sec 6 b) sin 3 c) tan 3