Question

Find the domain. Then use the drop down menu to select the correct symbols to indicate your answer in interval notation. If a number is not an integer then round it to the nearest hundredth. To indicate positive infinifty ( \infty ) type the three letters "inf". To indicate negative infinity(-\infty ) type "-inf" with no spaces between characters. f(x)= \frac{9}{x-6} AnswerAnswer,AnswerAnswerUAnswerAnswer,AnswerAnswer

Answer 1

The domain of a function is all values of x the function can assume.

Since the function has a fraction and the denominator of a fraction can't be zero, so we have the following condition:

$\begin{gathered} x-6\ne0 \\ x\ne6 \end{gathered}$

Since x can be all real numbers except 6, the domain is the following set:

$(-\text{inf,}6)\cup(6,\text{inf)}$