(a) Simplify the difference quotient (b) Simplify the difference quotient (c) Graph the following function. f(x+h)-f(x). h f(x)-f(a). x-a f(x) f(x)=3-x f(x) = 3x7x+2 2 x- 6 7 x + 3 if x # 2 if x = 2 2. The following questions are unrelated. (a) Find the inverse, f, of the function f. Graph both f and f- on the same set of axes. Find the domain of f-. f(x) = x + 4 for x 0 (b) Find the inverse function. Then find the domain of f . 1 (1) f(x) = log (4r) (2) f(x)= +1 (c) Solve the equations. Answer in exact form. (1) log5 x = -1 (2) In y = 3 (3) 5 = 29 (d) Assume that b>0 and b 1. Show that log = -logaz. 3. The following questions are unrelated. (a) Suppose = tan() Find sec 0 and csc 0. (b) Solve the equations. (1) 2 sin 30+1=2,0 0 < (2) sin cos 0 = 0, 00 < 2 (c) Without using a calculator, evaluate the expression. (3) tan 20 = 1,0