Find the derivative of the function G(t)=(1-4t)/(3+t) using the definition of derivative. What is the domain of the function? Choose the correct option from the following:
a) (-[infinity], -3] U [-3, [infinity])
b) (-[infinity], -3) U (-3, [infinity])
c) (-[infinity], -3] U (-3, [infinity])
d) (-[infinity], -3) U [-3, [infinity])