Use the given functions to find each of the following and their respective domains. Do not try to simplify the resulting functions and be sure to write each domain using interval notation.
f(x)=-5x^2-5x-8 and g(x)=-x+1
(f/g)(x)=
what is the domain using interval notation
To find (f/g)(x), we need to divide f(x) by g(x):
(f/g)(x) = (-5x^2 - 5x - 8) / (-x + 1)
Since division by zero is undefined, the domain of (f/g)(x) is all real numbers except x = 1 (since g(x) = -x + 1 must not be equal to 0 in the denominator).
Therefore, the domain of (f/g)(x) in interval notation is:
(-∞, 1) U (1, ∞)