Question

The domain of the rational function LaTeX: f\left(x\right)=\frac{9}{x-5}f ( x ) = 9 x − 5 is all real values of x such that LaTeX: x\ne

Answer 1

Explanation:

In this exercise we have the following function:

$f(x)=\frac{9}{x-5}$

So the domain of this function is the set of all real numbers such that $x=\neq 5$

Why?

Remember that the domain of a function are those x-values for which the function is defined. In this case, for $x=5$ the function is undefined, therefore x can't be 5.