a) f°g=f(g(x))=6(1/6x+5/6)-5=x+5-5=x
g°f=g(f(x))=1/6(6x-5)+5/6=x-5/6+5/6=x
f°f=f(f(x))=6(6x-5)-5=36x-30-5=36x-25
g°g=g(g(x))=1/6(1/6x+5/6)+5/6=1/36x+5/36+5/6=1/36x+35/36
b) f°g=f(g(x))=3(-x²+1)-4=-3x²+3-4=-3x²-1
g°f=g(f(x))=-(3x-4)²+1=-(9x²-24x+16)+1=-9x²+12x-15
f°f=f(f(x))=3(3x-4)-4=9x-12-4=9x-16
g°g=g(f(g))=-(-x²+1)²+1=-(x⁴-2x²+1)+1=-x⁴+2x²