Problema Solution
Let f(x) = 2x + 1 and g(x) = 5x − 4.Find the function.
(f/g)(x) =
Find the domain. (Enter your answer using interval notation.)
Answer provided by our tutors
(f/g)(x) = f(x) / g(x)
(f/g)(x) = (2x + 1)/(5x − 4)
the domain of f/g is the intersection of the domain of f and the domain of g, with the exception of the points x satisfying g(x) = 0.
the domain of f and the domain of g is the set of real numbers R.
lets find the points x for which g(x) = 0
5x − 4 = 0
x = 4/5
thus the domain is D = R/{4/5} = (-~, 4/5) U (4/5 +~).