34) will mark brainliest + 10 points! answer in normal text (example: pi/4, sec-2x^2) you.

1. 
f(g(x)) = [(-3x-7)/(x-1) -7 ] : [(-3x-7)/(x-1) +3]
= { [ (-3x-7) -7(x-1) ]/ (x-1)} : { [ (-3x-7) + 3(x-1) ]/(x-1)}
= (-3x-7-7x+7)/(x-1) x (x-1)/(-3x-7+3x-3)
= -10x/-10
= x
2. 
g(f(x)) = {[-3(x-7)/(x+3)] -7} : [(x-7)/(x+3) -1]
= [ (-3x+21)/(x+3) -7] : { [ x-7-(x+3) ]/(x+3) }
= { [ (-3x+21)-7(x+3) ]/(x+3) } x [ (x+3)/(x-7-x-3) ]
= (-3x+21-7x-21)/(x-7-x-3)
= -10x/-10 = x