If f(x) = sqrt ( | 3^x - 3^(1-x) | - 2) and g(x) = tan (pi*x) then domain of fog(x) is

Dear student,
fx=3x-33x-2, gx=tanπxfor domain of fx 3x-33x-203x-33x2let 3x=t and t>0 ...1-2t-3t2i) t-3t2t2-2t-30t-3t+10then -1t3 ...2ii) -2t-3tt2+2t-30t+3t-10then -3t1 ....3using eq1,eq2 and eq3 -1t3-3t1t>0then solution  0<t1,t3put t=3x0<3x1,3x3then domain of fx-<x0,x1x(-,0][1,)then domain of fgx-<gx0,gx1-<tanπx0,tanπx1-π2-<πx-,+π2πx+π4-12-n<x-n,n+12xn+14 where n=0,1,2,3.....

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