Fill in the tables and draw the graphs of the following functions: (a) x 0 1 2 3 4 g(x)=-2x+5 * -2 -1 0 1 2 3 4 (b) h(x)=x-2x-3 X -2 -1 0 1 2 (c) F(x) =3r Problem 3. Find formulas for the inverses of the following functions: (a) f(x)=5-x Problem 4. (b) g(x)=In(1+e) If f(x)=-2x and g(x)=1-x, compute a) f(x) + g(x) b) f(x) + 3g(x) c) f(2) + 2g(2) d) f(g(x)) e) g(f(0)) (a) What is the distance d between the points (3,8) and (15, 13)? (b) (-4,4) and (-3,8); (a) (2.3) and (5.5): Problem 6. Examine where the following functions are increasing/decreasing (use the result in (6.3.6)): (a) f(x) = x-6x+5 (b) f(x)=-2(x+2)(x-6) Problem 7. Determine the following limits: (a) lim (x-e+3) 1-0 (d) lim x+16 1-0 (b) lim 2x+3 x+2x+2 1-3x (e) lim 3432 x Problem 8. Find y' when 3 6 (a) y= (b) y=5x6/5 (c) y=2x-1/3 Problem 9. A firm produces f(L)=L+L units of a commodity when L units of labour are employed. The price obtained per unit is p and price per unit of labour is w. (a) What is the profit function (L)? (b) Find the value of L for which '(L) = 0.