Please help and fully explain with workings shown

Given Formula e) (4 points) For x > 4, find a formula for (x) -(4) SIMPLIFY your result. *2 7x + 28, if 36 2 4 x - 4 = f ( oc ) - f( 4 ) = XC2 _7x+ 28 -18(+(20) JC 2 - 726 + 10 DC - 4 (4 Joc + 10, if x 2 4 J C - 4 DC - 4 = f 6c) - + (4) = 202 - 726 + 10 DC -4 2C - 4 f) (4 points) Evaluate the limit: lim f ( x ) - f ( 4 ) * -+ 4 + x - 4 = Lim ( 4 - h ) 2 - 7 ( 6-h)+ 10 h - 20 4 - h - 4 Lim foc ) -f (4 ) 2( - > 4 Lim 16+ 12 - 85- 28 + 7h +10 26 - 4 h- 20 - h Lim FG()-f4) Lim h2_ h- 12 = 00 2-74 h - 70 2 0 - 4 - h g) (4 points) Use your answers from above to determine if lim f(x) - f(4) exists. Explain. x -+ 4 X - 4 h) (4 points) Calculate f'(4). Explain