For f(x) = 2x +1 and g(x)= x2 -7, find (g/f)(x) I think the answer is x^2-7 on top of 2x + 1 and to the right of that x = - 1/2 but I’m not sure

1- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis.2- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in the first question?