f(x)=2x^2-3x-9
g(x)=4x^2-9
Find (f / g)(x).
To find (f/g)(x), we need to divide the function f(x) by the function g(x).
(f/g)(x) = f(x) / g(x)
Substituting the expressions for f(x) and g(x):
(f/g)(x) = (2x^2 - 3x - 9) / (4x^2 - 9)
We cannot simplify this fraction any further without using polynomial long division.