Find the horizontal asymptote of the given function. \[ g(x)=\frac{x+7}{x^{2}-3} \]

Step 1 ：Find the horizontal asymptote of the given function. The function is \(g(x)=\frac{x+7}{x^{2}-3}\).

Step 2 ：The horizontal asymptote of a function can be found by looking at the degrees of the polynomials in the numerator and the denominator.

Step 3 ：If the degree of the polynomial in the denominator is greater than the degree of the polynomial in the numerator, the horizontal asymptote is y = 0.

Step 4 ：In this case, the degree of the polynomial in the denominator (2) is greater than the degree of the polynomial in the numerator (1), so the horizontal asymptote is y = 0.

Step 5 ：Final Answer: The horizontal asymptote of the function \(g(x)=\frac{x+7}{x^{2}-3}\) is \(\boxed{y = 0}\).