Please help correct if needed to what's done and help complete the rest

2. (12 pts total) Let f(x) = 3x-+12 x2-x-2 . Factor the numerator and denominator to help you answer each part below. Justify your responses for each part by showing work or writing a brief explanation. a. (1 pt) Find the domain of f (x). numerator = - 3*2+ 12 Domain of F( X ) = ( - 00 , -1 ) U ( - 1 , 00 ) = - 3( x2-4) = -31x-21( *+2) Denominator = Xz_x - Z = $2 - 2* * * - 2 b. (1 pt) Find the vertical asymptote(s), if any. = * ( x-2 ) + 1 ( x- 2) = (x-2) ( x +1 ) vertical asymptotes occur when wakes at *=-1 FIX ) = - 3/x-216+2) -3(x + 2] ( * - 2 ) ( x + 1 ) ( * + 1 ) Fix ) = 0 c. (1 pt) Find the horizontal asymptote(s), if any. > X = - 2 FIX ) : - 3 X 4141 * + 1 The horizontal asympotores is a horizontal line at ratio of leading co-efficients - 3 - 3 1/x+1 d. (2 pt) Does this function have any removable discontinuities? If so, where? Give your answer as an ordered pair No removable discontinues e. (2 pts) Find the x-intercepts and y-intercepts, if any. f. (2 pts) Does the following limit exist? If so, show work to find the value. If not, explain why not. lim f (x) x-2 g. (1 pt) Find lim f (x) X--1- h. (1 pt) Find lim f (x) x--1+ i. (1 pt) Based on your results above, does lim f (x) exist? If so, find the value. If not, explain X - -1 why not