is #'s 1-4 correct?
#1 is correct.
#2 is wrong.
#2) g(f(-6))=g(-21)=-21 -2 = -23.
#3 is wrong.
#3) f(f(7))=f(31)=4(31) + 3 = 127 <- you forget to add that 3.
#4 is wrong but not completely wrong, you didn't simplify.
g(f(x)) = g(4x+3) = 4x+3 - 2 = 4x + 1.