f(x)=4x^2+5 and g(x)=-7

(f/g)(x)=
find domain

To find (f/g)(x), we first find each function separately and then divide them.

f(x) = 4x^2 + 5
g(x) = -7

Now, divide f(x) by g(x):

(f/g)(x) = (4x^2 + 5) / (-7)

The domain of a function is the set of values of x for which the function is defined. In this case, g(x) is defined for all real numbers since it is a constant function. However, f(x) is defined for all real numbers as well. Therefore, the domain of (f/g)(x) is all real numbers.

So, (f/g)(x) = (4x^2 + 5) / (-7) has a domain of all real numbers.