Question
Find the domain of the following rational function. f(x)=(18x)/(x+13) Select the correct choice below and, if necessary, fill in the answer box to complete your c A. The domain of f(x) is restricted to square (Type your answer in interval notation.) B. The domain of f(x) has no restrictions.
Solution
3.2
(214 Votos)
Adriana
Mestre · Tutor por 5 anos
Resposta
To determine the domain of the rational function \( f(x) = \frac{18x}{x+13} \), we need to identify any values of
that would make the denominator equal to zero, as division by zero is undefined.The denominator of the function is
. Setting the denominator equal to zero gives:
Solving for
, we get:
Therefore, the function \( f(x) \) is undefined at
. The domain of \( f(x) \) includes all real numbers except
.In interval notation, the domain is:
So, the correct choice is:A. The domain of \( f(x) \) is restricted to \( (-\infty, -13) \cup (-13, \infty) \).