Question

Consider the functions F and Gas shown in the graph to the right Find the domain of the domain of G, and the domain of F. What is the domain of F? (Type your answer in interval notation) YA

Answer 1

1) to .F is Starting from a = 3 OC = 12 hence domain CF ) = [ 3,12 G is starting from OC 2 to x=1 2 2 domain of G = [2,11) domain of F+G is union of domain of F f G [3,12 ] V [2,11] -- [2012] 2] P(x) -- RCX) -((*) RCX)=58 X-0.3x2 CCX) = 4x+15 R(x )-CCX) = 58x-0.3x2( 4*+15) = 54*-0.37215 =-0.3x? +547-15 R Chero = 58x-0-3x2 = 58C100)- 0-3(100)= 2800 cloo = 4x + 15 = 4(100)+1S = 415 P(x)=-0:3(x +SX-S - 25985 3) f coc) = = 2385 on x domain € (-29) 9(06)= -goc² domain EC-D90) f +9 2 +I-932 domain (-2,00) f-9 20+1+9x² domain (-0,oo) f3(a)= f(c) 9(a) --(2.8C+1) 9x2) domain (-D you) = -0.3 (100)2 +54 C100)-15 (2x+1) no restriction 2 = ff(c) = f(oc).f(oc)- 230+1) (23C+1) domain (-D por) - & cx) fra (2971) gcoc) I x² discontinous at a= o denominator shouldnot zero domain (-0,0) U(0,0) -(x)= S(x), -9x^ denominator should not F(X) 2x+1 zero 2X+1 + 0 :: 007-Ź domain to,-/) U(-1/9%) f 2 CS Scanned with CamScanner