PRACTICE A EXAMPLE 2 Where are each of the following functions (3) Fx) = 2 - 2x - 8 (b ) Rx ) = # * * 0 ( d) Rx ) = [ * 1 ) Notice that R(4) is not defined, so fis d (b) Here RO) = is defined, but does not exist. (See this example.) So Fis discontinuous (c) Here F(4) = is defined and lim, Rx) - lim - 2x - 8 - lim (x - 4)( exists. But him, R(x) * R(4). co fis not continuous at (d) The greatest integer function (x) = [x ] has discom Find f + 9. f - 9. fg, and fig and their domains. F(x) = x - 8. g(xx) = x2 (F + 9)(x) - (-an, as) (8, 00) (-00, 8) (-50, 0) U (0. 20] (-90, 8) (F - )(x)= Domain: O (8, on) (-60, 90) ( -60, 0) u (0, as ) (fg)(x) = O (-90, 81 O (8, 60) Find the functions fog. g of, fo f, and g o g and their domains. Rx) = x 4 5' 9(x) = 2x - 3 (F o 9)(x) . (-36, 0) U (0. Do) O (-30, -2] O (-30, 90) (-20, - 5) U ( -5, 00 ) (9 0 f)(x) = Domain (-20, on) [-2, 00) (-00, -21 (-60, -5) U (-5, 90) (F o f)(x) = Domain O (-30, -25/6) U (-25/6, 90) (-30, -5) U (-5. -25/6) U (-25/6, 06) (-30, - 5) U (-3, 30 ) (-80, 0) U (0, an ) ( o 9)(x) - Find fog o h. F(x ) = x4 + 3, g(x) = x - 2. h(xx) = Vx Need Help? Watch It Find Fog and go f. F(x ) - 213 , 8(x ) - x (a) Fog The toll T charged for driving on a certain stretch of a toll road is $2 except during (a) Sketch a graph of T as a function of the time to measured in hours past m 24' 7 10 16 19 24 ' 16 19 (b) Locate the discontinuities of 7. (Enter yo er does not exist. enter ONE.) 11. Consider the following. Find the left hand and right hand limits at the given value of a. "ing- Rx) = lim , RX )